--- _id: '14795' abstract: - lang: eng text: Metazoan development relies on the formation and remodeling of cell-cell contacts. Dynamic reorganization of adhesion receptors and the actomyosin cell cortex in space and time plays a central role in cell-cell contact formation and maturation. Nevertheless, how this process is mechanistically achieved when new contacts are formed remains unclear. Here, by building a biomimetic assay composed of progenitor cells adhering to supported lipid bilayers functionalized with E-cadherin ectodomains, we show that cortical F-actin flows, driven by the depletion of myosin-2 at the cell contact center, mediate the dynamic reorganization of adhesion receptors and cell cortex at the contact. E-cadherin-dependent downregulation of the small GTPase RhoA at the forming contact leads to both a depletion of myosin-2 and a decrease of F-actin at the contact center. At the contact rim, in contrast, myosin-2 becomes enriched by the retraction of bleb-like protrusions, resulting in a cortical tension gradient from the contact rim to its center. This tension gradient, in turn, triggers centrifugal F-actin flows, leading to further accumulation of F-actin at the contact rim and the progressive redistribution of E-cadherin from the contact center to the rim. Eventually, this combination of actomyosin downregulation and flows at the contact determines the characteristic molecular organization, with E-cadherin and F-actin accumulating at the contact rim, where they are needed to mechanically link the contractile cortices of the adhering cells. acknowledged_ssus: - _id: Bio - _id: PreCl acknowledgement: "We are grateful to Edwin Munro for their feedback and help with the single particle analysis. We thank members of the Heisenberg and Loose labs for their help and feedback on the manuscript, notably Xin Tong for making the PCS2-mCherry-AHPH plasmid. Finally, we thank the Aquatics and Imaging & Optics facilities of ISTA for their continuous support, especially Yann Cesbron for assistance with the laser cutter. This work was supported by an ERC\r\nAdvanced Grant (MECSPEC) to C.-P.H." article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Feyza N full_name: Arslan, Feyza N id: 49DA7910-F248-11E8-B48F-1D18A9856A87 last_name: Arslan orcid: 0000-0001-5809-9566 - first_name: Edouard B full_name: Hannezo, Edouard B id: 3A9DB764-F248-11E8-B48F-1D18A9856A87 last_name: Hannezo orcid: 0000-0001-6005-1561 - first_name: Jack full_name: Merrin, Jack id: 4515C308-F248-11E8-B48F-1D18A9856A87 last_name: Merrin orcid: 0000-0001-5145-4609 - first_name: Martin full_name: Loose, Martin id: 462D4284-F248-11E8-B48F-1D18A9856A87 last_name: Loose orcid: 0000-0001-7309-9724 - first_name: Carl-Philipp J full_name: Heisenberg, Carl-Philipp J id: 39427864-F248-11E8-B48F-1D18A9856A87 last_name: Heisenberg orcid: 0000-0002-0912-4566 citation: ama: Arslan FN, Hannezo EB, Merrin J, Loose M, Heisenberg C-PJ. Adhesion-induced cortical flows pattern E-cadherin-mediated cell contacts. Current Biology. 2024;34(1):171-182.e8. doi:10.1016/j.cub.2023.11.067 apa: Arslan, F. N., Hannezo, E. B., Merrin, J., Loose, M., & Heisenberg, C.-P. J. (2024). Adhesion-induced cortical flows pattern E-cadherin-mediated cell contacts. Current Biology. Elsevier. https://doi.org/10.1016/j.cub.2023.11.067 chicago: Arslan, Feyza N, Edouard B Hannezo, Jack Merrin, Martin Loose, and Carl-Philipp J Heisenberg. “Adhesion-Induced Cortical Flows Pattern E-Cadherin-Mediated Cell Contacts.” Current Biology. Elsevier, 2024. https://doi.org/10.1016/j.cub.2023.11.067. ieee: F. N. Arslan, E. B. Hannezo, J. Merrin, M. Loose, and C.-P. J. Heisenberg, “Adhesion-induced cortical flows pattern E-cadherin-mediated cell contacts,” Current Biology, vol. 34, no. 1. Elsevier, p. 171–182.e8, 2024. ista: Arslan FN, Hannezo EB, Merrin J, Loose M, Heisenberg C-PJ. 2024. Adhesion-induced cortical flows pattern E-cadherin-mediated cell contacts. Current Biology. 34(1), 171–182.e8. mla: Arslan, Feyza N., et al. “Adhesion-Induced Cortical Flows Pattern E-Cadherin-Mediated Cell Contacts.” Current Biology, vol. 34, no. 1, Elsevier, 2024, p. 171–182.e8, doi:10.1016/j.cub.2023.11.067. short: F.N. Arslan, E.B. Hannezo, J. Merrin, M. Loose, C.-P.J. Heisenberg, Current Biology 34 (2024) 171–182.e8. date_created: 2024-01-14T23:00:56Z date_published: 2024-01-08T00:00:00Z date_updated: 2024-01-17T08:20:40Z day: '08' ddc: - '570' department: - _id: CaHe - _id: EdHa - _id: MaLo - _id: NanoFab doi: 10.1016/j.cub.2023.11.067 ec_funded: 1 file: - access_level: open_access checksum: 51220b76d72a614208f84bdbfbaf9b72 content_type: application/pdf creator: dernst date_created: 2024-01-16T10:53:31Z date_updated: 2024-01-16T10:53:31Z file_id: '14813' file_name: 2024_CurrentBiology_Arslan.pdf file_size: 5183861 relation: main_file success: 1 file_date_updated: 2024-01-16T10:53:31Z has_accepted_license: '1' intvolume: ' 34' issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 171-182.e8 project: - _id: 260F1432-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '742573' name: Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation publication: Current Biology publication_identifier: eissn: - 1879-0445 issn: - 0960-9822 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Adhesion-induced cortical flows pattern E-cadherin-mediated cell contacts tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 34 year: '2024' ... --- _id: '14802' abstract: - lang: eng text: Frequency-stable lasers form the back bone of precision measurements in science and technology. Such lasers typically attain their stability through frequency locking to reference cavities. State-of-the-art locking performances to date had been achieved using frequency modulation based methods, complemented with active drift cancellation systems. We demonstrate an all passive, modulation-free laser-cavity locking technique (squash locking) that utilizes changes in spatial beam ellipticity for error signal generation, and a coherent polarization post-selection for noise resilience. By comparing two identically built proof-of-principle systems, we show a frequency locking instability of 5×10−7 relative to the cavity linewidth at 10 s averaging. The results surpass the demonstrated performances of methods engineered over the last five decades, potentially enabling an advancement in the precision control of lasers, while creating avenues for bridging the performance gaps between industrial grade lasers with scientific ones due to the afforded simplicity and scalability. acknowledgement: We thank Rishabh Sahu and Sebastian Wald for technical contributions to the experiment. Funding by Institute of Science and Technology Austria. article_processing_charge: Yes article_type: original author: - first_name: Fritz R full_name: Diorico, Fritz R id: 2E054C4C-F248-11E8-B48F-1D18A9856A87 last_name: Diorico orcid: 0000-0002-4947-8924 - first_name: Artem full_name: Zhutov, Artem id: 0f02ed6a-b514-11ee-b891-8379c5f19cb7 last_name: Zhutov - first_name: Onur full_name: Hosten, Onur id: 4C02D85E-F248-11E8-B48F-1D18A9856A87 last_name: Hosten orcid: 0000-0002-2031-204X citation: ama: 'Diorico FR, Zhutov A, Hosten O. Laser-cavity locking utilizing beam ellipticity: accessing the 10−7 instability scale relative to cavity linewidth. Optica. 2024;11(1):26-31. doi:10.1364/optica.507451' apa: 'Diorico, F. R., Zhutov, A., & Hosten, O. (2024). Laser-cavity locking utilizing beam ellipticity: accessing the 10−7 instability scale relative to cavity linewidth. Optica. Optica Publishing Group. https://doi.org/10.1364/optica.507451' chicago: 'Diorico, Fritz R, Artem Zhutov, and Onur Hosten. “Laser-Cavity Locking Utilizing Beam Ellipticity: Accessing the 10−7 Instability Scale Relative to Cavity Linewidth.” Optica. Optica Publishing Group, 2024. https://doi.org/10.1364/optica.507451.' ieee: 'F. R. Diorico, A. Zhutov, and O. Hosten, “Laser-cavity locking utilizing beam ellipticity: accessing the 10−7 instability scale relative to cavity linewidth,” Optica, vol. 11, no. 1. Optica Publishing Group, pp. 26–31, 2024.' ista: 'Diorico FR, Zhutov A, Hosten O. 2024. Laser-cavity locking utilizing beam ellipticity: accessing the 10−7 instability scale relative to cavity linewidth. Optica. 11(1), 26–31.' mla: 'Diorico, Fritz R., et al. “Laser-Cavity Locking Utilizing Beam Ellipticity: Accessing the 10−7 Instability Scale Relative to Cavity Linewidth.” Optica, vol. 11, no. 1, Optica Publishing Group, 2024, pp. 26–31, doi:10.1364/optica.507451.' short: F.R. Diorico, A. Zhutov, O. Hosten, Optica 11 (2024) 26–31. date_created: 2024-01-15T10:25:38Z date_published: 2024-01-20T00:00:00Z date_updated: 2024-01-17T08:53:47Z day: '20' ddc: - '530' department: - _id: OnHo doi: 10.1364/optica.507451 file: - access_level: open_access checksum: eb99ca7d0fe73e22f121875175546ed7 content_type: application/pdf creator: dernst date_created: 2024-01-17T08:53:16Z date_updated: 2024-01-17T08:53:16Z file_id: '14824' file_name: 2023_Optica_Diorico.pdf file_size: 4558986 relation: main_file success: 1 file_date_updated: 2024-01-17T08:53:16Z has_accepted_license: '1' intvolume: ' 11' issue: '1' keyword: - Atomic and Molecular Physics - and Optics - Electronic - Optical and Magnetic Materials language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 26-31 publication: Optica publication_identifier: issn: - 2334-2536 publication_status: published publisher: Optica Publishing Group quality_controlled: '1' status: public title: 'Laser-cavity locking utilizing beam ellipticity: accessing the 10−7 instability scale relative to cavity linewidth' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 11 year: '2024' ... --- _id: '14820' abstract: - lang: eng text: "We consider a natural problem dealing with weighted packet selection across a rechargeable link, which e.g., finds applications in cryptocurrency networks. The capacity of a link (u, v) is determined by how many nodes u and v allocate for this link. Specifically, the input is a finite ordered sequence of packets that arrive in both directions along a link. Given (u, v) and a packet of weight x going from u to v, node u can either accept or reject the packet. If u accepts the packet, the capacity on link (u, v) decreases by x. Correspondingly, v's capacity on \r\n increases by x. If a node rejects the packet, this will entail a cost affinely linear in the weight of the packet. A link is “rechargeable” in the sense that the total capacity of the link has to remain constant, but the allocation of capacity at the ends of the link can depend arbitrarily on the nodes' decisions. The goal is to minimise the sum of the capacity injected into the link and the cost of rejecting packets. We show that the problem is NP-hard, but can be approximated efficiently with a ratio of (1+E) . (1+3) for some arbitrary E>0." acknowledgement: We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful discussions about different variants of the problem. This work is supported by the European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025, the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant 470029389 (FlexNets), 2021-2024. article_number: '114353' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Stefan full_name: Schmid, Stefan last_name: Schmid - first_name: Jakub full_name: Svoboda, Jakub id: 130759D2-D7DD-11E9-87D2-DE0DE6697425 last_name: Svoboda orcid: 0000-0002-1419-3267 - first_name: Michelle X full_name: Yeo, Michelle X id: 2D82B818-F248-11E8-B48F-1D18A9856A87 last_name: Yeo citation: ama: 'Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 2024;989. doi:10.1016/j.tcs.2023.114353' apa: 'Schmid, S., Svoboda, J., & Yeo, M. X. (2024). Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2023.114353' chicago: 'Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” Theoretical Computer Science. Elsevier, 2024. https://doi.org/10.1016/j.tcs.2023.114353.' ieee: 'S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation,” Theoretical Computer Science, vol. 989. Elsevier, 2024.' ista: 'Schmid S, Svoboda J, Yeo MX. 2024. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 989, 114353.' mla: 'Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” Theoretical Computer Science, vol. 989, 114353, Elsevier, 2024, doi:10.1016/j.tcs.2023.114353.' short: S. Schmid, J. Svoboda, M.X. Yeo, Theoretical Computer Science 989 (2024). date_created: 2024-01-16T13:40:41Z date_published: 2024-01-11T00:00:00Z date_updated: 2024-01-17T09:23:03Z day: '11' department: - _id: KrCh - _id: KrPi doi: 10.1016/j.tcs.2023.114353 ec_funded: 1 intvolume: ' 989' keyword: - General Computer Science - Theoretical Computer Science language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1016/j.tcs.2023.114353 month: '01' oa: 1 oa_version: Published Version project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Theoretical Computer Science publication_identifier: issn: - 0304-3975 publication_status: epub_ahead publisher: Elsevier quality_controlled: '1' status: public title: 'Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 989 year: '2024' ... --- _id: '14793' abstract: - lang: eng text: Superconductor/semiconductor hybrid devices have attracted increasing interest in the past years. Superconducting electronics aims to complement semiconductor technology, while hybrid architectures are at the forefront of new ideas such as topological superconductivity and protected qubits. In this work, we engineer the induced superconductivity in two-dimensional germanium hole gas by varying the distance between the quantum well and the aluminum. We demonstrate a hard superconducting gap and realize an electrically and flux tunable superconducting diode using a superconducting quantum interference device (SQUID). This allows to tune the current phase relation (CPR), to a regime where single Cooper pair tunneling is suppressed, creating a sin(2y) CPR. Shapiro experiments complement this interpretation and the microwave drive allows to create a diode with ≈ 100% efficiency. The reported results open up the path towards integration of spin qubit devices, microwave resonators and (protected) superconducting qubits on the same silicon technology compatible platform. acknowledged_ssus: - _id: M-Shop - _id: NanoFab acknowledgement: "We acknowledge Alexander Brinkmann, Alessandro Crippa, Francesco Giazotto, Andrew Higginbotham, Andrea Iorio, Giordano Scappucci, Christian Schonenberger, and Lukas Splitthoff for helpful discussions. We thank Marcel Verheijen for the support in the TEM analysis. This research and related results were made possible with the support of the NOMIS\r\nFoundation. It was supported by the Scientific Service Units of ISTA through resources provided by the MIBA Machine Shop and the nanofabrication facility, the European Union’s Horizon 2020 research andinnovation programme under Grant Agreement No 862046, the HORIZONRIA\r\n101069515 project, the European Innovation Council Pathfinder grant no. 101115315 (QuKiT), and the FWF Projects #P-32235, #P-36507 and #F-8606. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. R.S.S. acknowledges Spanish CM “Talento Program\"\r\nProject No. 2022-T1/IND-24070. J.J. acknowledges European Research Council TOCINA 834290." article_number: '169' article_processing_charge: Yes article_type: original author: - first_name: Marco full_name: Valentini, Marco id: C0BB2FAC-D767-11E9-B658-BC13E6697425 last_name: Valentini - first_name: Oliver full_name: Sagi, Oliver id: 71616374-A8E9-11E9-A7CA-09ECE5697425 last_name: Sagi - first_name: Levon full_name: Baghumyan, Levon id: 7aa1f788-b527-11ee-aa9e-e6111a79e0c7 last_name: Baghumyan - first_name: Thijs full_name: de Gijsel, Thijs id: a0ece13c-b527-11ee-929d-bad130106eee last_name: de Gijsel - first_name: Jason full_name: Jung, Jason id: 4C9ACE7A-F248-11E8-B48F-1D18A9856A87 last_name: Jung - first_name: Stefano full_name: Calcaterra, Stefano last_name: Calcaterra - first_name: Andrea full_name: Ballabio, Andrea last_name: Ballabio - first_name: Juan L full_name: Aguilera Servin, Juan L id: 2A67C376-F248-11E8-B48F-1D18A9856A87 last_name: Aguilera Servin orcid: 0000-0002-2862-8372 - first_name: Kushagra full_name: Aggarwal, Kushagra id: b22ab905-3539-11eb-84c3-fc159dcd79cb last_name: Aggarwal orcid: 0000-0001-9985-9293 - first_name: Marian full_name: Janik, Marian id: 396A1950-F248-11E8-B48F-1D18A9856A87 last_name: Janik - first_name: Thomas full_name: Adletzberger, Thomas id: 38756BB2-F248-11E8-B48F-1D18A9856A87 last_name: Adletzberger - first_name: Rubén full_name: Seoane Souto, Rubén last_name: Seoane Souto - first_name: Martin full_name: Leijnse, Martin last_name: Leijnse - first_name: Jeroen full_name: Danon, Jeroen last_name: Danon - first_name: Constantin full_name: Schrade, Constantin last_name: Schrade - first_name: Erik full_name: Bakkers, Erik last_name: Bakkers - first_name: Daniel full_name: Chrastina, Daniel last_name: Chrastina - first_name: Giovanni full_name: Isella, Giovanni last_name: Isella - first_name: Georgios full_name: Katsaros, Georgios id: 38DB5788-F248-11E8-B48F-1D18A9856A87 last_name: Katsaros orcid: 0000-0001-8342-202X citation: ama: Valentini M, Sagi O, Baghumyan L, et al. Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. 2024;15. doi:10.1038/s41467-023-44114-0 apa: Valentini, M., Sagi, O., Baghumyan, L., de Gijsel, T., Jung, J., Calcaterra, S., … Katsaros, G. (2024). Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-023-44114-0 chicago: Valentini, Marco, Oliver Sagi, Levon Baghumyan, Thijs de Gijsel, Jason Jung, Stefano Calcaterra, Andrea Ballabio, et al. “Parity-Conserving Cooper-Pair Transport and Ideal Superconducting Diode in Planar Germanium.” Nature Communications. Springer Nature, 2024. https://doi.org/10.1038/s41467-023-44114-0. ieee: M. Valentini et al., “Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium,” Nature Communications, vol. 15. Springer Nature, 2024. ista: Valentini M, Sagi O, Baghumyan L, de Gijsel T, Jung J, Calcaterra S, Ballabio A, Aguilera Servin JL, Aggarwal K, Janik M, Adletzberger T, Seoane Souto R, Leijnse M, Danon J, Schrade C, Bakkers E, Chrastina D, Isella G, Katsaros G. 2024. Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. 15, 169. mla: Valentini, Marco, et al. “Parity-Conserving Cooper-Pair Transport and Ideal Superconducting Diode in Planar Germanium.” Nature Communications, vol. 15, 169, Springer Nature, 2024, doi:10.1038/s41467-023-44114-0. short: M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra, A. Ballabio, J.L. Aguilera Servin, K. Aggarwal, M. Janik, T. Adletzberger, R. Seoane Souto, M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella, G. Katsaros, Nature Communications 15 (2024). date_created: 2024-01-14T23:00:56Z date_published: 2024-01-02T00:00:00Z date_updated: 2024-01-17T11:07:55Z day: '02' ddc: - '530' department: - _id: GeKa doi: 10.1038/s41467-023-44114-0 ec_funded: 1 external_id: pmid: - '38167818' file: - access_level: open_access checksum: ef79173b45eeaf984ffa61ef2f8a52ab content_type: application/pdf creator: dernst date_created: 2024-01-17T11:03:00Z date_updated: 2024-01-17T11:03:00Z file_id: '14825' file_name: 2024_NatureComm_Valentini.pdf file_size: 2336595 relation: main_file success: 1 file_date_updated: 2024-01-17T11:03:00Z has_accepted_license: '1' intvolume: ' 15' language: - iso: eng month: '01' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 237E5020-32DE-11EA-91FC-C7463DDC885E call_identifier: H2020 grant_number: '862046' name: TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS - _id: 34c0acea-11ca-11ed-8bc3-8775e10fd452 grant_number: '101069515' name: Integrated GermaNIum quanTum tEchnology - _id: bdc2ca30-d553-11ed-ba76-cf164a5bb811 grant_number: '101115315' name: Quantum bits with Kitaev Transmons - _id: 237B3DA4-32DE-11EA-91FC-C7463DDC885E call_identifier: FWF grant_number: P32235 name: Towards scalable hut wire quantum devices - _id: bd8bd29e-d553-11ed-ba76-f0070d4b237a grant_number: P36507 name: Merging spin and superconducting qubits in planar Ge - _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e grant_number: F8606 name: Conventional and unconventional topological superconductors publication: Nature Communications publication_identifier: eissn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2024' ... --- _id: '14797' abstract: - lang: eng text: We study a random matching problem on closed compact 2 -dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose common law is absolutely continuous with respect to the volume measure with strictly positive and bounded density. We show that given two sequences of numbers n and m=m(n) of points, asymptotically equivalent as n goes to infinity, the optimal transport plan between the two empirical measures μn and νm is quantitatively well-approximated by (Id,exp(∇hn))#μn where hn solves a linear elliptic PDE obtained by a regularized first-order linearization of the Monge-Ampère equation. This is obtained in the case of samples of correlated random points for which a stretched exponential decay of the α -mixing coefficient holds and for a class of discrete-time Markov chains having a unique absolutely continuous invariant measure with respect to the volume measure. acknowledgement: "NC has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No 948819).\r\nFM is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the SPP 2265 Random Geometric Systems. FM has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044 -390685587, Mathematics Münster: Dynamics–Geometry–Structure. FM has been funded by the Max Planck Institute for Mathematics in the Sciences." article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Nicolas full_name: Clozeau, Nicolas id: fea1b376-906f-11eb-847d-b2c0cf46455b last_name: Clozeau - first_name: Francesco full_name: Mattesini, Francesco last_name: Mattesini citation: ama: Clozeau N, Mattesini F. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. 2024. doi:10.1007/s00440-023-01254-0 apa: Clozeau, N., & Mattesini, F. (2024). Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-023-01254-0 chicago: Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields. Springer Nature, 2024. https://doi.org/10.1007/s00440-023-01254-0. ieee: N. Clozeau and F. Mattesini, “Annealed quantitative estimates for the quadratic 2D-discrete random matching problem,” Probability Theory and Related Fields. Springer Nature, 2024. ista: Clozeau N, Mattesini F. 2024. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. mla: Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields, Springer Nature, 2024, doi:10.1007/s00440-023-01254-0. short: N. Clozeau, F. Mattesini, Probability Theory and Related Fields (2024). date_created: 2024-01-14T23:00:57Z date_published: 2024-01-04T00:00:00Z date_updated: 2024-01-17T11:18:34Z day: '04' ddc: - '510' department: - _id: JuFi doi: 10.1007/s00440-023-01254-0 ec_funded: 1 external_id: arxiv: - '2303.00353' has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1007/s00440-023-01254-0 month: '01' oa: 1 oa_version: Published Version project: - _id: 0aa76401-070f-11eb-9043-b5bb049fa26d call_identifier: H2020 grant_number: '948819' name: Bridging Scales in Random Materials publication: Probability Theory and Related Fields publication_identifier: eissn: - 1432-2064 issn: - 0178-8051 publication_status: epub_ahead publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Annealed quantitative estimates for the quadratic 2D-discrete random matching problem tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2024' ...