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73 Publications
2024 | Journal Article | IST-REx-ID: 14934 | 
Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery Tour in Random Riemannian Geometry.” Potential Analysis. Springer Nature, 2024. https://doi.org/10.1007/s11118-023-10118-0.
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2024 | Journal Article | IST-REx-ID: 15252 |
Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” Mathematical Communications. Udruga Matematicara Osijek, 2024.
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2024 | Journal Article | IST-REx-ID: 15317 |
Dello Schiavo, Lorenzo, Lorenzo Portinale, and Federico Sau. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.” Annals of Applied Probability. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/23-AAP2007.
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2023 | Journal Article | IST-REx-ID: 12104 |
Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.” Journal of Evolution Equations. Springer Nature, 2023. https://doi.org/10.1007/s00028-022-00859-7.
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2023 | Journal Article | IST-REx-ID: 12087 |
Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01220-x.
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2023 | Journal Article | IST-REx-ID: 10145 |
Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.” Potential Analysis. Springer Nature, 2023. https://doi.org/10.1007/s11118-021-09951-y.
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2023 | Journal Article | IST-REx-ID: 12959 |
Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2023. https://doi.org/10.1007/s00526-023-02472-z.
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2023 | Journal Article | IST-REx-ID: 12911 |
Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.109963.
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2023 | Journal Article | IST-REx-ID: 13177 |
Hua, Bobo, Matthias Keller, Michael Schwarz, and Melchior Wirth. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.” Proceedings of the American Mathematical Society. American Mathematical Society, 2023. https://doi.org/10.1090/proc/14361.
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2023 | Journal Article | IST-REx-ID: 13145 |
Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-ECP528.
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2023 | Journal Article | IST-REx-ID: 13318 |
Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” Mathematische Annalen. Springer Nature, 2023. https://doi.org/10.1007/s00208-023-02680-0.
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2023 | Journal Article | IST-REx-ID: 13271 |
Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-023-01345-7.
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2023 | Journal Article | IST-REx-ID: 13319 |
Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04795-6.
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2023 | Preprint | IST-REx-ID: 14732 |
Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.” BioRxiv, n.d. https://doi.org/10.1101/2023.12.02.569702.
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2022 | Journal Article | IST-REx-ID: 11916 |
Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances in Operator Theory. Springer Nature, 2022. https://doi.org/10.1007/s43036-022-00199-w.
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2022 | Journal Article | IST-REx-ID: 12177 |
Cremaschi, Tommaso, and Lorenzo Dello Schiavo. “Effective Contraction of Skinning Maps.” Proceedings of the American Mathematical Society, Series B. American Mathematical Society, 2022. https://doi.org/10.1090/bproc/134.
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2022 | Journal Article | IST-REx-ID: 10588 |
Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.” Mathematische Annalen. Springer Nature, 2022. https://doi.org/10.1007/s00208-021-02331-2.
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2022 | Journal Article | IST-REx-ID: 11330 |
Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02911-9.
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2022 | Journal Article | IST-REx-ID: 11447 |
Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.” Bulletin of Mathematical Biology. Springer Nature, 2022. https://doi.org/10.1007/s11538-022-01029-z.
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2022 | Journal Article | IST-REx-ID: 11739 |
Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022. https://doi.org/10.1137/21M1410968.
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2022 | Journal Article | IST-REx-ID: 11700 |
Erbar, Matthias, Dominik L Forkert, Jan Maas, and Delio Mugnolo. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.” Networks and Heterogeneous Media. American Institute of Mathematical Sciences, 2022. https://doi.org/10.3934/nhm.2022023.
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2022 | Journal Article | IST-REx-ID: 12210 |
Akylzhanov, Rauan, Yulia Kuznetsova, Michael Ruzhansky, and Haonan Zhang. “Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.” Mathematische Zeitschrift. Springer Nature, 2022. https://doi.org/10.1007/s00209-022-03143-z.
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2022 | Journal Article | IST-REx-ID: 12216 |
Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” Linear Algebra and Its Applications. Elsevier, 2022. https://doi.org/10.1016/j.laa.2022.09.001.
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2022 | Journal Article | IST-REx-ID: 12281 |
Franceschini, Chiara, Patrícia Gonçalves, and Federico Sau. “Symmetric Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.” Bernoulli. Bernoulli Society for Mathematical Statistics and Probability, 2022. https://doi.org/10.3150/21-bej1390.
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2022 | Journal Article | IST-REx-ID: 10797 |
Floreani, Simone, Frank Redig, and Federico Sau. “Orthogonal Polynomial Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2022. https://doi.org/10.1214/21-AIHP1163.
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2022 | Journal Article | IST-REx-ID: 11354 |
Dello Schiavo, Lorenzo. “The Dirichlet–Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold.” Annals of Probability. Institute of Mathematical Statistics, 2022. https://doi.org/10.1214/21-AOP1541.
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2021 | Journal Article | IST-REx-ID: 10023 |
Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems. International Press, 2021. https://doi.org/10.4310/CIS.2021.v21.n4.a1.
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2021 | Journal Article | IST-REx-ID: 10613 |
Chen, Joe P., and Federico Sau. “Higher-Order Hydrodynamics and Equilibrium Fluctuations of Interacting Particle Systems.” Markov Processes And Related Fields. Polymat Publishing, 2021.
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2021 | Journal Article | IST-REx-ID: 9973 |
Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” Communications in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s00220-021-04199-4.
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2021 | Journal Article | IST-REx-ID: 10024 |
Floreani, Simone, Frank Redig, and Federico Sau. “Hydrodynamics for the Partial Exclusion Process in Random Environment.” Stochastic Processes and Their Applications. Elsevier, 2021. https://doi.org/10.1016/j.spa.2021.08.006.
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2021 | Journal Article | IST-REx-ID: 10070 |
Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109234.
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2021 | Journal Article | IST-REx-ID: 9627 |
Lenz, Daniel, Timon Weinmann, and Melchior Wirth. “Self-Adjoint Extensions of Bipartite Hamiltonians.” Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2021. https://doi.org/10.1017/S0013091521000080.
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2021 | Thesis | IST-REx-ID: 10030 |
Portinale, Lorenzo. “Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10030.
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2021 | Preprint | IST-REx-ID: 9792 |
Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.
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2021 | Thesis | IST-REx-ID: 9733 |
Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.
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2021 | Journal Article | IST-REx-ID: 15261
Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2020.108848.
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2020 | Journal Article | IST-REx-ID: 6358 |
Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02434-w.
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2020 | Book Chapter | IST-REx-ID: 74 |
Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.” In Geometric Aspects of Functional Analysis, edited by Bo’az Klartag and Emanuel Milman, 2256:1–27. LNM. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-36020-7_1.
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2020 | Journal Article | IST-REx-ID: 7388 |
Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. Elsevier, 2020. https://doi.org/10.1016/j.anihpc.2020.01.003.
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2020 | Journal Article | IST-REx-ID: 7509 |
Zhang, Haonan. “From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture.” Advances in Mathematics. Elsevier, 2020. https://doi.org/10.1016/j.aim.2020.107053.
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2020 | Journal Article | IST-REx-ID: 8670 |
Zhang, Haonan. “Equality Conditions of Data Processing Inequality for α-z Rényi Relative Entropies.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0022787.
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2020 | Journal Article | IST-REx-ID: 8758 |
Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02663-4.
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2020 | Thesis | IST-REx-ID: 7629 |
Forkert, Dominik L. “Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7629.
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2020 | Journal Article | IST-REx-ID: 7573 |
Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of One-Dimensional Discrete Optimal Transport.” Journal de Mathematiques Pures et Appliquees. Elsevier, 2020. https://doi.org/10.1016/j.matpur.2020.02.008.
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2020 | Preprint | IST-REx-ID: 10022 |
Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, n.d.
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2020 | Journal Article | IST-REx-ID: 71 |
Gladbach, Peter, Eva Kopfer, and Jan Maas. “Scaling Limits of Discrete Optimal Transport.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/19M1243440.
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2020 | Journal Article | IST-REx-ID: 6359 |
Dareiotis, Konstantinos, and Mate Gerencser. “On the Regularisation of the Noise for the Euler-Maruyama Scheme with Irregular Drift.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2020. https://doi.org/10.1214/20-EJP479.
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2020 | Journal Article | IST-REx-ID: 8973 |
Redig, Frank, Ellen Saada, and Federico Sau. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2020. https://doi.org/10.1214/20-EJP536.
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2019 | Journal Article | IST-REx-ID: 7550 |
Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” Advances in Mathematical Sciences and Applications. Gakko Tosho, 2019.
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2019 | Journal Article | IST-REx-ID: 301 |
Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” Stochastic Processes and Their Applications. Elsevier, 2019. https://doi.org/10.1016/j.spa.2018.04.003.
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2019 | Journal Article | IST-REx-ID: 65 |
Dareiotis, Konstantinos, Mate Gerencser, and Benjamin Gess. “Entropy Solutions for Stochastic Porous Media Equations.” Journal of Differential Equations. Elsevier, 2019. https://doi.org/10.1016/j.jde.2018.09.012.
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2019 | Journal Article | IST-REx-ID: 319 |
Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0841-1.
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2019 | Journal Article | IST-REx-ID: 6028 |
Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.” Communications on Pure and Applied Mathematics. Wiley, 2019. https://doi.org/10.1002/cpa.21816.
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2019 | Journal Article | IST-REx-ID: 6232 |
Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” Annals of Probability. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AOP1272.
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2019 | Journal Article | IST-REx-ID: 10878 |
Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019. https://doi.org/10.3934/dcds.2019126.
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2019 | Journal Article | IST-REx-ID: 73 |
Erbar, Matthias, Jan Maas, and Melchior Wirth. “On the Geometry of Geodesics in Discrete Optimal Transport.” Calculus of Variations and Partial Differential Equations. Springer, 2019. https://doi.org/10.1007/s00526-018-1456-1.
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2019 | Journal Article | IST-REx-ID: 72 |
Ferrari, Patrick, Promit Ghosal, and Peter Nejjar. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AIHP916.
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2018 | Journal Article | IST-REx-ID: 1215 |
Flandoli, Franco, Francesco Russo, and Giovanni A Zanco. “Infinite-Dimensional Calculus under Weak Spatial Regularity of the Processes.” Journal of Theoretical Probability. Springer, 2018. https://doi.org/10.1007/s10959-016-0724-2.
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2018 | Journal Article | IST-REx-ID: 6355 |
Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma. Cambridge University Press, 2018. https://doi.org/10.1017/fms.2018.7.
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2018 | Journal Article | IST-REx-ID: 70 |
Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.” Latin American Journal of Probability and Mathematical Statistics. Instituto Nacional de Matematica Pura e Aplicada, 2018. https://doi.org/10.30757/ALEA.v15-49.
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2018 | Preprint | IST-REx-ID: 75 |
Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” arXiv, 2018. https://doi.org/10.48550/arXiv.1804.03057.
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2018 | Journal Article | IST-REx-ID: 556 |
Betea, Dan, Jeremie Bouttier, Peter Nejjar, and Mirjana Vuletic. “The Free Boundary Schur Process and Applications I.” Annales Henri Poincare. Springer Nature, 2018. https://doi.org/10.1007/s00023-018-0723-1.
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2017 | Journal Article | IST-REx-ID: 560 |
Gerencser, Mate, Arnulf Jentzen, and Diyora Salimova. “On Stochastic Differential Equations with Arbitrarily Slow Convergence Rates for Strong Approximation in Two Space Dimensions.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London, 2017. https://doi.org/10.1098/rspa.2017.0104.
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2017 | Journal Article | IST-REx-ID: 642 |
Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.” Mathematics of Computation. American Mathematical Society, 2017. https://doi.org/10.1090/mcom/3201.
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2017 | Book Chapter | IST-REx-ID: 649
Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” In Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017. https://doi.org/10.1007/978-3-319-58002-9_5.
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2017 | Conference Paper | IST-REx-ID: 989
Maas, Jan, Martin Rumpf, and Stefan Simon. “Transport Based Image Morphing with Intensity Modulation.” edited by François Lauze, Yiqiu Dong, and Anders Bjorholm Dahl, 10302:563–77. Springer, 2017. https://doi.org/10.1007/978-3-319-58771-4_45.
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2017 | Journal Article | IST-REx-ID: 956 |
Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.” Journal of Functional Analysis. Academic Press, 2017. https://doi.org/10.1016/j.jfa.2017.05.003.
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2017 | Journal Article | IST-REx-ID: 447 |
Ferrari, Patrik, and Peter Nejjar. “Fluctuations of the Competition Interface in Presence of Shocks.” Revista Latino-Americana de Probabilidade e Estatística. Instituto Nacional de Matematica Pura e Aplicada, 2017. https://doi.org/10.30757/ALEA.v14-17.
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2016 | Journal Article | IST-REx-ID: 1261 |
Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.” Nonlinearity. IOP Publishing Ltd., 2016. https://doi.org/10.1088/0951-7715/29/7/1992.
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2016 | Journal Article | IST-REx-ID: 1448 |
Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2016. https://doi.org/10.1214/15-AAP1133.
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2015 | Journal Article | IST-REx-ID: 1517 |
Erbar, Matthias, Jan Maas, and Michiel Renger. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2015. https://doi.org/10.1214/ECP.v20-4315.
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2015 | Journal Article | IST-REx-ID: 1639 |
Maas, Jan, Martin Rumpf, Carola Schönlieb, and Stefan Simon. “A Generalized Model for Optimal Transport of Images Including Dissipation and Density Modulation.” ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences, 2015. https://doi.org/10.1051/m2an/2015043.
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| arXiv
2015 | Journal Article | IST-REx-ID: 1635 |
Erbar, Matthias, Jan Maas, and Prasad Tetali. “Discrete Ricci Curvature Bounds for Bernoulli-Laplace and Random Transposition Models.” Annales de La Faculté Des Sciences de Toulouse. Faculté des sciences de Toulouse, 2015. https://doi.org/10.5802/afst.1464.
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