Project publications

Here is a list of our preprints and publications. Come back for updates!

1. Ahmed, R., Bernardin, C., Gonçalves, P., & Simon, M. (2022, May). A microscopic derivation of coupled SPDE’s with a KPZ flavor. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (Vol. 58, No. 2, pp. 890-915).
   

2. Amir, G., Busani, O., Gonçalves, P., & Martin, J. B. (2021, July). The TAZRP speed process. In Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (Vol. 57, No. 3, pp. 1281-1305)
   

3. B. Anwasia, P. Gonçalves, A.J. Soares, From the simple reacting sphere kinetic model to the reaction-diffusion system of Maxwell-Stefan type, Comm. Math. Sci. 17 (2) (2019), p. 507-538
   

4. Anwasia, B., Gonçalves, P., & Soares, A. J. (2020). On the formal derivation of the reactive Maxwell-Stefan equations from the kinetic theory. EPL (Europhysics Letters), 129(4), 40005.
   

5. Arnaudon, M., Cruzeiro, A. B., Léonard, C., & Zambrini, J. C. (2020). An entropic interpolation problem for incompressible viscid fluids. Ann. Inst. H. Poincaré (B) Probability and Statistics, vol 56, n. 3
   

6. Arnaudon, M., Cruzeiro, A. B., & Fang, S. (2018). Generalized stochastic Lagrangian paths for the Navier-Stokes equation. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18, no. 3
   

7. M. Arnaudon, J.-C. Zambrini (2017). A stochastic look at geodesics on the sphere. Geometric science of information, 470–476, Lecture Notes in Comput. Sci., 10589, Springer, Cham.
   

8. J. Backhoff, G. Conforti, I. Gentil, C. Léonard, The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities. Probab. Theory Related Fields 178 (2020), no. 1-2, 475–530
   

9. Baradat, A., & Monsaingeon, L. (2019). Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport. Arch. Rat. Mech. Anal.
   

10. Benamou, J. (2021). Optimal transportation, modelling and numerical simulation. Acta Numerica, 30, 249-325. doi:10.1017/S0962492921000040
    

11. Benamou, J-D & Carlier, G. & Nenna, L. (2019). Generalized incompressible flows, multi-marginal transport Sinkhorn algorithm, Numerische Mathematik, 142-1, p.33-54.
    

12. Benamou, J-D & Carlier, G. & Di Marino, S. & Nenna, L. (2019) An entropy minimization approach to second-order variational mean-field games, Math. Models Methods Appl.
    

13. Jean-David Benamou, Guillaume Chazareix, Wilbert IJzerman, Giorgi Rukhaia, Point source regularization of the finite source reflector problem, Journal of Computational Physics, Volume 456, 2022
    

14. J.-D. Benamou, V. Duval, Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. European J. Appl. Math. 30 no. 6, (2019) 1041–1078
    

15. Benamou, J. D., Ijzerman, W., & Rukhaia, G. (2020). An entropic optimal transport numerical approach to the reflector problem. Methods and Applications of Analysis.
    

16. Benamou, J. D., & Martinet, M. (2020). Capacity constrained entropic optimal transport, Sinkhorn saturated domain out-summation and vanishing temperature, HAL preprint, hal-02563022
    

17. Bernardin, C., Cardoso, P., Goncalves, P., & Scotta, S. (2020). Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion. arXiv preprint arXiv:2007.01621.
    

18. Bernardin, C., Gonçalves, P., & Jiménez-Oviedo, B. (2021). A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. Archive for Rational Mechanics and Analysis, 239(1), 1-48.
    

19. C. Bernardin. P. Gonçalves, B. Jiménez-Oviedo, Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps, Markov Proc. Rel Fields 25 (2019), p. 217-274
    

20. Bernardin, C., Gonçalves, P., Jiménez-Oviedo, B., & Scotta, S. (2022). Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps. Journal of Statistical Physics, 189(3), 1-32.
    

21. Bernardin, C., Goncalves, P., Jara, M., & Scotta, S. (2022, February). Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs. In Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (Vol. 58, No. 1, pp. 303-342)
    

22. Bhauryal, N., Cruzeiro, A. B., & Oliveira, C. (2022). On the well-posedness of a Hamilton-Jacobi-Bellman equation with transport noise. arXiv preprint arXiv:2209.06660.
    

23. Bögli, S., & Vuillermot, P. A. (2022). A spectral theorem for the semigroup generated by a class of infinitely many master equations. Acta Applicandae Mathematicae, 178(1), 1-28.
    

24. Bögli, S., & Vuillermot, P. A. (2021). On the asymptotic behavior of solutions to a class of grand canonical master equations. arXiv preprint arXiv:2111.10123.
    

25. Odran Bonnet, Alfred Galichon, Yu-Wei Hsieh, Keith O’Hara and Matt Shum. Yogurts Choose Consumers? Identification of Random Utility Models via Two-Sided Matching. Accepted for publication, Review of Economic Studies.
    

26. Bonorino, L., De Paula, R., Gonçalves, P., & Neumann, A. (2020). Hydrodynamics of porous medium model with slow reservoirs. Journal of Statistical Physics, 179(3), 748-788.
    

27. G. Buttazzo, G. Carlier, M. Laborde, On the Wasserstein distance between mutually singular measures. Adv. Calc. Var. 13 (2020), no. 2, 141–154
    

28. C. Cancès, T. Gallouet, M. Laborde, L. Monsaingeon, Simulation of multiphase porous media flows with minimising movement and finite volume schemes, European Journal of Applied Mathematics, 30(6), (2019) 1123-1152. doi:10.1017/S0956792518000633
    

29. Cardoso, P., De Paula, R., & Gonçalves, P. (2022). Derivation of the fractional porous medium equation from a microscopic dynamics. arXiv preprint arXiv:2205.00812
    

30. Cardoso, P., Gonçalves, P., & Jiménez-Oviedo, B. (2022). Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: superdiffusive regime. arXiv preprint arXiv:2201.10540.
    

31. Cardoso, P., Gonçalves, P., Jiménez-Oviedo, B. (2021): Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: diffusive regime, accepted for publication in AIHP, Prob & Stats.
    

32. Carlier, G. (2022). On the Linear Convergence of the Multimarginal Sinkhorn Algorithm. SIAM Journal on Optimization, 32(2), 786-794.
    

33. Guillaume Carlier, Arnaud Dupuy, Alfred Galichon, Yifei Sun. SISTA: learning optimal transport costs under sparsity constraints, accepted in Communications on Pure and Applied Mathematics.
    

34. Carlier, G., Eichinger, K., & Kroshnin, A. (2021). Entropic-Wasserstein barycenters: PDE characterization, regularity, and CLT. SIAM Journal on Mathematical Analysis, 53(5), 5880-5914.
    

35. G. Carlier, G. Friesecke and D. Vögler, Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections, to appear in PTRF
    

36. Carlier, G., & Laborde, M. (2020). A Differential Approach to the Multi-Marginal Schrödinger System. SIAM Journal on Mathematical Analysis, 52(1), 709-717.
    

37. Carlier, C. Poon, On the total variation Wasserstein gradient flow and the TV-JKO scheme. ESAIM Control Optim. Calc. Var. 25 (2019), Paper No. 42, 21 pp.
    

38. G. Carlier, T. Radice, Approximation of variational problems with a convexity constraint by PDEs of Abreu type. Calc. Var. Partial Differential Equations, 58 (2019), no. 5, No. 170, 13 pp.
    

39. G. Carlier, K.S. Zhang, Existence of solutions to principal-agent problems with adverse selection under minimal assumptions. J. Math. Econom. 88 (2020), 64–71
    

40. D. Cassani, H. Tavares, J. Zhang, Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two. J. Differential Equations 269 (2020), no. 3, 2328–2385
    

41. Casteras, J. B., & Monsaingeon, L. (2021). Invariant measures and global well-posedness for a fractional Schr\" odinger equation with Moser-Trudinger type nonlinearity. arXiv preprint arXiv:2110.01267.
    

42. Casteras, J. B., & Monsaingeon, L. (2022). Hidden dissipation and convexity for Kimura equations. arXiv preprint arXiv:2209.15361.
    

43. P. Cattiaux, G. Conforti, I. Gentil and C. Léonard. Time reversal of diffusion processes under a finite entropy condition (2021). To appear in Annales de l'Institut Henri Poincaré Probab. Statist. ( arXiv:2104.07708 )
    

44. Chalub, F. A., Monsaingeon, L., Ribeiro, A. M., & Souza, M. O. (2021). Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective. Acta Applicandae Mathematicae, 171(1), 1-50.
    

45. X. Chen, A.B. Cruzeiro, T.S. Ratiu (2022), Stochastic variational principles for dissipative equations with advected quantities, accepted in Journal of Nonlin. Sc.
    

46. Chen, J. P., & Gonçalves, P. (2021). Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket. Mathematical Physics, Analysis and Geometry, 24(3), 1-65.
    

47. Victor Chernozhukov, Alfred Galichon, Marc Henry, Brendan Pass, Single market nonparametric identification of multi-attribute hedonic equilibrium models (2021). Journal of Political Economy.
    

48. P.-A. Chiappori, A. Galichon, B. Salanié, On Human Capital and Team Stability, Journal of Human Capital 13(2), (2019) 236-259
    

49. L. Chizat, P. Roussillon, F. Léger, F-X. Vialard, G. Peyré, Faster Wasserstein Distance Estimation with the Sinkhorn Divergence, Proc. NeurIPS ́20 (2020)
    

50. E. Ciscato, A. Galichon, M. Goussé, Like Attract Like: A Structural Comparison of Homogamy Across Same-Sex and Different-Sex Households, Journal of Political Economy 128, no. 2, (2020) 740-781
    

51. G. Conforti and C. Léonard. Time reversal of Markov processes with jumps under a finite entropy condition. Stochastic Processes and their Applications 144, 85-124, (2022)
    

52. Cruzeiro, A.B. (2018) Probabilidades e Hidrodinâmica, Boletim SPE
    

53. Cruzeiro, A. B. (2020). Stochastic approaches to deterministic fluid dynamics: A selective review. Water, 12(3), 864.
    

54. A.B. Cruzeiro (2019), Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers, J. Geom. Mechanics
    

55. A.B. Cruzeiro, D. D. Holm, T.S. Ratiu, Momentum Maps and Stochastic Clebsch Action Principles, Comm. Math. Phys. 357 (2) (2018) 873-912
    

56. Cruzeiro, A. B. & Lassalle, R., (2019). Weak calculus of variations for functionals of laws of semi-martingales. Stochastic Processes and their Applications
    

57. A.B. Cruzeiro, A. Symeonides, On a non-periodic modified Euler equation: existence and quasi-invariant measures, Potential Anal. 54 , n.4 (2021), 607–626
    

58. A.B. Cruzeiro, A. Symoeonides, Invariant measures for the non-periodic two-dimensional Euler equation, Bull. Sci. Math. 148 (2018) 33–52
    

59. Cruzeiro, Ana Bela; Symeonides, Alexandra. Invariant and quasi-invariant measures for equations in hydrodynamics. Topics in applied analysis and optimisation—partial differential equations, stochastic and numerical analysis, 101–120, CIM Ser. Math. Sci., Springer, Cham, [2019]
    

60. Cruzeiro, A.B., Oliveira, C. & Zambrini, J.C., Time-symmetrical optimal stochastic problems in space-time domains, Optimization, online
    

61. Cruzeiro, A.B. & Zambrini, J.C., Stochastic geodesics, Geometry and invariance in stochastic dynamics, 59–69, Springer Proc. Math. Stat., 378, Springer, Cham (2021)
    

62. De Carlo, L., Gabrielli, D., & Gonçalves, P. (2021). Hydrodynamic limit of an exclusion process with vorticity. arXiv preprint arXiv:2109.07897.
    

63. De Paula, R., Gonçalves, P., & Neumann, A. (2021). Energy estimates and convergence of weak solutions of the porous medium equation. Nonlinearity, 34(11), 7872.
    

64. Dias, J. P., Oliveira, F., & Tavares, H. (2020). On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law. Communications in Contemporary Mathematics, 22(07), 1950054.
    

65. M. Dozzi, R. Touibi, P.-A. Vuillermot, P.-A. (2019), Global variational solutions to a class of fractional SPDE ́s on unbounded domains, Stochastic Analysis and Applications 37(1), (2019) 57-73
    

66. Dupuy, A., & Galichon, A. . A Note on the Estimation of Job Amenities and Labor Productivity, Accepted for publication, Quantitative Economics.
    

67. Dupuy, A., Galichon, A., Jaffe, S., & Kominers, S. D. (2017). Taxation in matching markets. SSRN 3060746
    

68. A.Dupuy, A. Galichon, Y. Sun (2019) Estimating matching affinity matrix under low-rank constraints, Information and Inference
    

69. Erhard, D., Franco, T., Gonçalves, P., Neumann, A., & Tavares, M. (2020, May). Non-equilibrium fluctuations for the SSEP with a slow bond. In Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (Vol. 56, No. 2, pp. 1099-1128).
    

70. Erignoux, C., Gonçalves, P., & Nahum, G. (2020). Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part I, the critical regime and beyond. Journal of Statistical Physics, 181(4), 1433-1469.
    

71. Erignoux, C., Gonçalves, P., Nahum, G.. (2020): Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, the critical regime and beyond, ALEA, Lat. Am. J. Probab. Math. Stat., Volume 17, 791–823
    

72. J. Feydy, T. Séjourné, F-X. Vialard, S. Amari, A. Trouvé, G. Peyré (2019). Interpolating between Optimal Transport and MMD using Sinkhorn Divergences, Proc. AISTATS'19
    

73. Franceschini, C., Gonçalves, P., & Salvador, B. (2022). Hydrodynamical behavior for the generalized symmetric exclusion with open boundary. arXiv preprint arXiv:2201.10241.
    

74. Franceschini, C., Gonçalves, P., & Sau, F. (2022). Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics. Bernoulli, 28(2), 1340-1381.
    

75. Franco, T., Gonçalves, P., Landim, C., & Neumann, A. (2022). Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions. arXiv preprint arXiv:2203.14417.
    

76. Franco, T., Gonçalves, P., & Neumann, A. (2019). Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion. Stochastic Processes and their Applications, 129(4), 1413-1442.
    

77. Franco, T., Gonçalves, P., & Neumann, A. (2021). Large deviations for the SSEP with slow boundary: the non-critical case. arXiv preprint arXiv:2107.06998.
    

78. Alfred Galichon (2021) On the representation of the nested logit model. Econometric Theory.
    

79. A. Galichon, S. Kominers, S. Weber, Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility, Journal of Political Economy. 127, no. 6, (2019) 2875-2925
    

80. Galichon, A., & B. Salainé. Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models, Accepted for publication, Review of Economic Studies
    

81. Gallouët, T., Laborde, M., & Monsaingeon, L. (2019). An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems. ESAIM: Control, Optimisation and Calculus of Variations, 25, 8.
    

82. Genevay, A., Chizat, L., Bach, F., Cuturi, M., & Peyré, G. (2018). Sample complexity of Sinkhorn divergences. In The 22nd international conference on artificial intelligence and statistics (pp. 1574-1583). PMLR.
    

83. I. Gentil, C. Léonard, L. Ripani and L.Tamanini (2019). An entropic interpolation proof of the HWI inequality, Stochastic Processes and their Applications, 130(2), 907-923.
    

84. I. Gentil, C. Léonard and L. Ripani (2019). Dynamical aspects of generalized Schrödinger problem via Otto calculus - A heuristic point of view. To appear in Revista Matemática Iberoamericana
    

85. Gonçalves, P. (2021): On the universality from interacting particle systems, submitted.
    

86. P. Gonçalves, Hydrodynamics for symmetric exclusion in contact with reservoirs, Stochastic dynamics out of equilibrium, 137–205, Springer, Chamn (2019)
    

87. P. Gonçalves, M. Jara, Quadratic fluctuations of the symmetric simple exclusion, ALEA Lat. Am. J. Prob. Math. Stat. 16 (1) (2019), p. 605-632
    

88. Gonçalves, P., Jara, M., Marinho, R., & Moreira, D. (2022). Scaling limits for Rudvalis card shuffles. arXiv preprint arXiv:2209.10213.
    

89. Gonçalves, P., Jara, M., Menezes, O., Marinho, R. (2022): Sharp convergence to equilibrium for the SSEP with reservoirs, accepted for publication in AIHP, Prob & Stats.
    

90. P. Gonçalves, M. Jara, O. Menezes, A. Neumann, Non-equilibrium and stationary fluctuations for the SSEP with slow boundary. Stochastic Process. Appl. 130 (2020), no. 7, 4326–4357
    

91. Gonçalves, P., Misturini, R., & Occelli, A. (2022). Hydrodynamics for the ABC model with slow/fast boundary. arXiv preprint arXiv:2205.11307.
    

92. Gonçalves, P., & Occelli, A. (2020). On energy solutions to stochastic Burgers equation. MPRF, Volume 27, 523-556
    

93. Gonçalves, P., Perkowski, N., & Simon, M. (2020). Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP. Annales Henri Lebesgue, 3, 87-167.
    

94. Gonçalves, P., & Scotta, S. (2020). Diffusive to super-diffusive behavior in boundary driven exclusion. arXiv preprint arXiv:2004.03978.
    

95. M. Grossi, A. Saldaña, H. Tavares, Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems. Proc. Lond. Math. Soc. (3) 120 (2020), no. 1, 39–64
    

96. Qiao Huang, Jean-Claude Zambrini (2022). From second-order differential geometry to stochastic geometric mechanics. ArXiv preprint arXiv: 2201.03706
    

97. Qiao Huang, Jean-Claude Zambrini (2022). Hamilton-Jacobi-Bellman equations in stochastic geometric mechanics. To appear in Entropy
    

98. Qiao Huang, Jean-Claude Zambrini. Stochastic geometric mechanics in nonequilibrium thermodynamics: Schrödinger meets Onsager. To appear in Journal of Physics A: Mathematical and Theoretical.
    

99. Qiao Huang, Xiongtao Zhang. On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking. Mathematical Models and Methods in Applied Sciences, 2022, 32(01): 43–99.
    

100. H. Janati, B. Muzellec, G. Peyré, M. Cuturi, Entropic Optimal Transport between (Unbalanced) Gaussian Measures has a Closed Form, Proc. NeurIPS ́20, (2020)
     

101. Lavenant, H., Monsaingeon, L., Tamanini, L., & Vorotnikov, D. (2021). Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps. arXiv preprint arXiv:2107.09589.
     

102. C. Léonard. Feynman-Kac formula under a finite entropy condition (2022). Probability Theory and Related Fields.
     

103. Mensch, A., Blondel, M., & Peyré, G. (2019). Geometric losses for distributional learning. Proc. ICML'19.
     

104. A. Mensch, G. Peyré, Online Sinkhorn: optimal transportation distances from sample streams, Proc. NeurIPS ́20, (2020)
     

105. Monsaingeon, L. (2020). A new transportation distance with bulk/interface interactions and flux penalization. To appear in Calc. Var. and PDEs.
     

106. Monsaingeon, L., Vorotnikov, D. (2020). The Schrödinger problem on the non-commutative Fisher-Rao space. To appear in Calc. Var. and PDEs.
     

107. Monsaingeon, L., & Vorotnikov, D. (2021, July). Schrödinger Encounters Fisher and Rao: A Survey. In International Conference on Geometric Science of Information (pp. 468-476). Springer, Cham.
     

108. Monsaingeon, L., Tamanini, L. Vorotnikov, D. (2020). The dynamical Schrödinger problem in abstract metric spaces. arXiv preprint arXiv:2012.12005
     

109. B. Noris, H. Tavares, G. Verzini (2019). Normalized solutions for nonlinear Schrödinger systems on bounded domains, Nonlinearity 32 , 1044–1072
     

110. G. Peyré, L. Chizat, F-X. Vialard, J. Solomon (2018). Quantum Entropic Regularization of Matrix-Valued Optimal Transport, European Journal of Applied Mathematics
     

111. A.Pistola, N. Soave, H. Tavares, A fountain of positive bubbles on a Coron ́s problem for a competitive weakly coupled gradient system. J. Math. Pures Appl. (9) 135 (2020), 159–198
     

112. Sander, M. E., Ablin, P., Blondel, M., & Peyré, G. (2022, May). Sinkformers: Transformers with doubly stochastic attention. In International Conference on Artificial Intelligence and Statistics (pp. 3515-3530). PMLR.
     

113. Scetbon, M., Cuturi, M., & Peyré, G. (2021, July). Low-rank sinkhorn factorization. In International Conference on Machine Learning (pp. 9344-9354). PMLR.
     

114. Séjourné, T., Vialard, F. X., & Peyré, G. (2022, May). Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe. In International Conference on Artificial Intelligence and Statistics (pp. 4995-5021). PMLR.
     

115. Séjourné, T., Vialard, F. X., & Peyré, G. (2021). The unbalanced Gromov Wasserstein distance: Conic formulation and relaxation. Advances in Neural Information Processing Systems, 34, 8766-8779.
     

116. H. Tavares, S. You, Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case. Calc. Var. Partial Differential Equations 59 (2020), no. 1, Paper No. 26, 35 p
     

117. F. Tertuliano, P. Gonçalves, Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion, Stoch. Proc. and their Applic. 129 (4) (2019) 1413–1442
     

118. Vuillermot, P. A. (2020). On Bernstein processes of maximal entropy. Stochastic Analysis and Applications, 38(5), 886-908.
     

119. P.-A.Vuillermot, J.-C. Zambrini (2019), On Bernstein processes generated by hierarchies of linear parabolic systems in R^d, Stochastic Processes and their Applications
     

120. Wei Wei, Qiao Huang, Jinqiao Duan. Large deviations for stochastic differential equations driven by heavy-tailed Lévy processes. ArXiv preprint arXiv: 2101.03856, 2021.
     

121. Yuanfei Huang, Qiao Huang, Jinqiao Duan. The most probable transition paths of stochastic dynamical systems: equivalent description and characterization. ArXiv preprint arXiv: 2104.06864, 2021.