Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.”10.1007/s11118-023-10118-0__Potential Analysis, Springer Nature, 2024, doi:10.1007/s11118-023-10118-0.
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DOI: 10.1007/s11118-023-10118-0

Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” Mathematical Communications, vol. 29, no. 1, Udruga Matematicara Osijek, 2024, pp. 137–42.
LibreCat: https://research-explorer.ista.ac.at/record/15252
arXiv: 2304.11348

Dello Schiavo, Lorenzo, et al. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.”10.1214/23-AAP2007__Annals of Applied Probability, vol. 34, no. 2, Institute of Mathematical Statistics, 2024, pp. 1789–845, doi:10.1214/23-AAP2007.
LibreCat: https://research-explorer.ista.ac.at/record/15317
DOI: 10.1214/23-AAP2007
arXiv: 2112.14196

Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.”10.1007/s00028-022-00859-7__Journal of Evolution Equations, vol. 23, no. 1, 9, Springer Nature, 2023, doi:10.1007/s00028-022-00859-7.
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DOI: 10.1007/s00028-022-00859-7
WoS: 000906214600004

Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.”10.1007/s00023-022-01220-x__Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 717–50, doi:10.1007/s00023-022-01220-x.
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DOI: 10.1007/s00023-022-01220-x
WoS: 000837499800002
arXiv: 2105.08303

Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.”10.1007/s11118-021-09951-y__Potential Analysis, vol. 58, Springer Nature, 2023, pp. 573–615, doi:10.1007/s11118-021-09951-y.
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DOI: 10.1007/s11118-021-09951-y
WoS: 000704213400001
arXiv: 2003.01366

Gladbach, Peter, et al. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.”10.1007/s00526-023-02472-z__Calculus of Variations and Partial Differential Equations, vol. 62, no. 5, 143, Springer Nature, 2023, doi:10.1007/s00526-023-02472-z.
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DOI: 10.1007/s00526-023-02472-z
WoS: 000980588900001
arXiv: 2110.15321

Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.”10.1016/j.jfa.2023.109963__Journal of Functional Analysis, vol. 285, no. 4, 109963, Elsevier, 2023, doi:10.1016/j.jfa.2023.109963.
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DOI: 10.1016/j.jfa.2023.109963
WoS: 000990804300001
arXiv: 2106.11217

Hua, Bobo, et al. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.”10.1090/proc/14361__Proceedings of the American Mathematical Society, vol. 151, no. 8, American Mathematical Society, 2023, pp. 3401–14, doi:10.1090/proc/14361.
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DOI: 10.1090/proc/14361
WoS: 000988204400001
arXiv: 1804.08353

Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.”10.1214/23-ECP528__Electronic Communications in Probability, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–12, doi:10.1214/23-ECP528.
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DOI: 10.1214/23-ECP528
WoS: 001042025400001

Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.”10.1007/s00208-023-02680-0__Mathematische Annalen, Springer Nature, 2023, doi:10.1007/s00208-023-02680-0.
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DOI: 10.1007/s00208-023-02680-0
WoS: 001035665500001
arXiv: 2210.14468

Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.”10.1007/s00023-023-01345-7__Annales Henri Poincare, Springer Nature, 2023, doi:10.1007/s00023-023-01345-7.
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DOI: 10.1007/s00023-023-01345-7
WoS: 001025709100001
arXiv: 2108.05785

Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.”10.1007/s00220-023-04795-6__Communications in Mathematical Physics, vol. 403, Springer Nature, 2023, pp. 381–416, doi:10.1007/s00220-023-04795-6.
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arXiv: 2303.15949

Olusanya, Oluwafunmilola O., et al. “Genetic Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.”10.1101/2023.12.02.569702__BioRxiv, doi:10.1101/2023.12.02.569702.
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DOI: 10.1101/2023.12.02.569702

Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.”10.1007/s43036-022-00199-w__Advances in Operator Theory, vol. 7, no. 3, 38, Springer Nature, 2022, doi:10.1007/s43036-022-00199-w.
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DOI: 10.1007/s43036-022-00199-w

Cremaschi, Tommaso, and Lorenzo Dello Schiavo. “Effective Contraction of Skinning Maps.”10.1090/bproc/134__Proceedings of the American Mathematical Society, Series B, vol. 9, no. 43, American Mathematical Society, 2022, pp. 445–59, doi:10.1090/bproc/134.
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DOI: 10.1090/bproc/134

Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.”10.1007/s00208-021-02331-2__Mathematische Annalen, vol. 384, Springer Nature, 2022, pp. 1815–32, doi:10.1007/s00208-021-02331-2.
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arXiv: 2110.05137

Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.”10.1007/s10955-022-02911-9__Journal of Statistical Physics, vol. 187, no. 2, 19, Springer Nature, 2022, doi:10.1007/s10955-022-02911-9.
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Saona Urmeneta, Raimundo J., et al. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.”10.1007/s11538-022-01029-z__Bulletin of Mathematical Biology, vol. 84, no. 8, 74, Springer Nature, 2022, doi:10.1007/s11538-022-01029-z.
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Forkert, Dominik L., et al. “Evolutionary $\'47amma$-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.”10.1137/21M1410968__SIAM Journal on Mathematical Analysis, vol. 54, no. 4, Society for Industrial and Applied Mathematics, 2022, pp. 4297–333, doi:10.1137/21M1410968.
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arXiv: 2008.10962

Erbar, Matthias, et al. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.”10.3934/nhm.2022023__Networks and Heterogeneous Media, vol. 17, no. 5, American Institute of Mathematical Sciences, 2022, pp. 687–717, doi:10.3934/nhm.2022023.
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arXiv: 2105.05677

Akylzhanov, Rauan, et al. “Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.”10.1007/s00209-022-03143-z__Mathematische Zeitschrift, vol. 302, no. 4, Springer Nature, 2022, pp. 2327–52, doi:10.1007/s00209-022-03143-z.
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arXiv: 2101.00584

Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.”10.1016/j.laa.2022.09.001__Linear Algebra and Its Applications, vol. 654, Elsevier, 2022, pp. 289–310, doi:10.1016/j.laa.2022.09.001.
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Franceschini, Chiara, et al. “Symmetric Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.”10.3150/21-bej1390__Bernoulli, vol. 28, no. 2, Bernoulli Society for Mathematical Statistics and Probability, 2022, pp. 1340–81, doi:10.3150/21-bej1390.
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arXiv: 2007.11998

Floreani, Simone, et al. “Orthogonal Polynomial Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.”10.1214/21-AIHP1163__Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 58, no. 1, Institute of Mathematical Statistics, 2022, pp. 220–47, doi:10.1214/21-AIHP1163.
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arXiv: 2007.08272

Dello Schiavo, Lorenzo. “The Dirichlet–Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold.”10.1214/21-AOP1541__Annals of Probability, vol. 50, no. 2, Institute of Mathematical Statistics, 2022, pp. 591–648, doi:10.1214/21-AOP1541.
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arXiv: 1811.11598

Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.”10.4310/CIS.2021.v21.n4.a1__Communications in Information and Systems, vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:10.4310/CIS.2021.v21.n4.a1.
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arXiv: 2005.14177

Chen, Joe P., and Federico Sau. “Higher-Order Hydrodynamics and Equilibrium Fluctuations of Interacting Particle Systems.” Markov Processes And Related Fields, vol. 27, no. 3, Polymat Publishing, 2021, pp. 339–80.
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arXiv: 2008.13403

Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.”10.1007/s00220-021-04199-4__Communications in Mathematical Physics, vol. 387, Springer Nature, 2021, pp. 761–791, doi:10.1007/s00220-021-04199-4.
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arXiv: 2007.13506

Floreani, Simone, et al. “Hydrodynamics for the Partial Exclusion Process in Random Environment.”10.1016/j.spa.2021.08.006__Stochastic Processes and Their Applications, vol. 142, Elsevier, 2021, pp. 124–58, doi:10.1016/j.spa.2021.08.006.
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arXiv: 1911.12564

Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.”10.1016/j.jfa.2021.109234__Journal of Functional Analysis, vol. 281, no. 11, 109234, Elsevier, 2021, doi:10.1016/j.jfa.2021.109234.
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arXiv: 2008.01492

Lenz, Daniel, et al. “Self-Adjoint Extensions of Bipartite Hamiltonians.”10.1017/S0013091521000080__Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3, Cambridge University Press, 2021, pp. 443–47, doi:10.1017/S0013091521000080.
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arXiv: 1912.03670

Portinale, Lorenzo. Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10030.
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DOI: 10.15479/at:ista:10030

Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.”10.48550/arXiv.2106.11217__ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217.
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arXiv: 2106.11217

Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733.
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Lenz, Daniel, et al. “Uniqueness of Form Extensions and Domination of Semigroups.”10.1016/j.jfa.2020.108848__Journal of Functional Analysis, vol. 280, no. 6, 108848, Elsevier, 2021, doi:10.1016/j.jfa.2020.108848.
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Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.”10.1007/s10955-019-02434-w__Journal of Statistical Physics, vol. 178, no. 2, Springer Nature, 2020, pp. 319–78, doi:10.1007/s10955-019-02434-w.
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arXiv: 1811.04572

Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.”10.1007/978-3-030-36020-7_1__Geometric Aspects of Functional Analysis, edited by Bo’az Klartag and Emanuel Milman, vol. 2256, Springer Nature, 2020, pp. 1–27, doi:10.1007/978-3-030-36020-7_1.
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arXiv: 1808.07350

Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.”10.1016/j.anihpc.2020.01.003__Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, vol. 37, no. 3, Elsevier, 2020, pp. 663–82, doi:10.1016/j.anihpc.2020.01.003.
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arXiv: 1902.07635

Zhang, Haonan. “From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture.”10.1016/j.aim.2020.107053__Advances in Mathematics, vol. 365, 107053, Elsevier, 2020, doi:10.1016/j.aim.2020.107053.
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arXiv: 1811.01205

Zhang, Haonan. “Equality Conditions of Data Processing Inequality for ;1-z Rényi Relative Entropies.”10.1063/5.0022787__Journal of Mathematical Physics, vol. 61, no. 10, 102201, AIP Publishing, 2020, doi:10.1063/5.0022787.
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arXiv: 2007.06644

Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.”10.1007/s10955-020-02663-4__Journal of Statistical Physics, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:10.1007/s10955-020-02663-4.
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arXiv: 2004.02831

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, doi:10.15479/AT:ISTA:7629.
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Gladbach, Peter, et al. “Homogenisation of One-Dimensional Discrete Optimal Transport.”10.1016/j.matpur.2020.02.008__Journal de Mathematiques Pures et Appliquees, vol. 139, no. 7, Elsevier, 2020, pp. 204–34, doi:10.1016/j.matpur.2020.02.008.
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Forkert, Dominik L., et al. “Evolutionary -Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, 2008.10962.
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arXiv: 2008.10962

Gladbach, Peter, et al. “Scaling Limits of Discrete Optimal Transport.”10.1137/19M1243440__SIAM Journal on Mathematical Analysis, vol. 52, no. 3, Society for Industrial and Applied Mathematics, 2020, pp. 2759–802, doi:10.1137/19M1243440.
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arXiv: 1809.01092

Dareiotis, Konstantinos, and Mate Gerencser. “On the Regularisation of the Noise for the Euler-Maruyama Scheme with Irregular Drift.”10.1214/20-EJP479__Electronic Journal of Probability, vol. 25, 82, Institute of Mathematical Statistics, 2020, doi:10.1214/20-EJP479.
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arXiv: 1812.04583

Redig, Frank, et al. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.”10.1214/20-EJP536__Electronic Journal of Probability, vol. 25, 138,10.1214/20-EJP536__Institute of Mathematical Statistics, 2020, doi:10.1214/20-EJP536.
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Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” Advances in Mathematical Sciences and Applications, vol. 28, no. 2, Gakko Tosho, 2019, pp. 425–47.
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Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.”10.1016/j.spa.2018.04.003__Stochastic Processes and Their Applications, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:10.1016/j.spa.2018.04.003.
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arXiv: 1611.04177