P. Caputo

发表

Spatial Mixing and Systematic Scan Markov chains pdf

Eric Vigoda, Alistair Sinclair, Antonio Blanca, 2016, ArXiv.

Convergence to equilibrium of biased plane Partitions

Fabio Martinelli, Pietro Caputo, Fabio Lucio Toninelli, 2009, Random Struct. Algorithms.

Dynamics of Lattice Triangulations on Thin Rectangles pdf

Fabio Martinelli, Alistair Sinclair, Alexandre Stauffer, 2015, ArXiv.

Mixing Times of Monotone Surfaces and SOS Interfaces: A Mean Curvature Approach

F. Martinelli, F. Toninelli, P. Caputo, 2011, 1101.4190.

Phase ordering after a deep quench: the stochastic Ising and hard core gas models on a tree

F. Martinelli, P. Caputo, 2004, math/0412450.

Spectrum of Non-Hermitian Heavy Tailed Random Matrices

C. Bordenave, Djalil CHAFAÏ, P. Caputo, 2010, 1006.1713.

Cutoff at the “entropic time” for sparse Markov chains

Justin Salez, Charles Bordenave, Pietro Caputo, 2016, Probability Theory and Related Fields.

Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph

Charles Bordenave, Pietro Caputo, C. Bordenave, 2009, 0903.3528.

Spectrum of large random reversible Markov chains: two examples

Charles Bordenave, Pietro Caputo, C. Bordenave, 2008, 0811.1097.

On the approach to equilibrium for a polymer with adsorption and repulsion

Pietro Caputo, Fabio Lucio Toninelli, Fabio Martinelli, 2007, 0709.2612.

Random lattice triangulations: structure and algorithms

A. Sinclair, F. Martinelli, P. Caputo, 2012, Symposium on the Theory of Computing.

Proof of Aldous' spectral gap conjecture

T. Liggett, P. Caputo, Thomas Richthammer, 2009, 0906.1238.

Random walk on sparse random digraphs

Justin Salez, Charles Bordenave, Pietro Caputo, 2015, Probability Theory and Related Fields.

Entropy dissipation estimates in a zero-range dynamics

Gustavo Posta, Pietro Caputo, P. Caputo, 2004 .

Convex entropy decay via the Bochner-Bakry-Emery approach

Gustavo Posta, Paolo Dai Pra, Pietro Caputo, 2007 .

Circular law theorem for random Markov matrices

Charles Bordenave, Pietro Caputo, C. Bordenave, 2008, Probability Theory and Related Fields.

Dynamics of $(2+1)$-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Allan Sly, Pietro Caputo, Eyal Lubetzky, 2012, 1205.6884.

“Zero” temperature stochastic 3D ising model and dimer covering fluctuations: A first step towards interface mean curvature motion

Pietro Caputo, Fabio Lucio Toninelli, Fabio Martinelli, 2010, 1007.3599.

Mixing time of the adjacent walk on the simplex

P. Caputo, H. Lacoin, C. Labb'e, 2019, 1904.01088.

Entropy production in nonlinear recombination models

A. Sinclair, P. Caputo, 2016, Bernoulli.

Submitted to the Annals of Applied Probability RANDOM LATTICE TRIANGULATIONS : STRUCTURE AND ALGORITHMS By

A. Sinclair, F. Martinelli, P. Caputo, 2014 .

Relaxation time of L-reversal chains and other chromosome shuffles

F. Martinelli, N. Cancrini, F. Martinelli, 2004 .

Spectrum of Markov Generators on Sparse Random Graphs

C. Bordenave, Djalil CHAFAÏ, P. Caputo, 2012, 1202.0644.

Spectral gap and cutoff phenomenon for the Gibbs sampler of $\nabla\varphi$ interfaces with convex potential

P. Caputo, H. Lacoin, C. Labb'e, 2020, 2007.10108.

Invariance principle for Mott variable range hopping and other walks on point processes

P. Caputo, A. Faggionato, T. Prescott, 2009, 0912.4591.

Large deviations for Generalized Polya Urns with general urn functions

P. Caputo, Simone Franchini, 2014 .

The shape of the (2+1)d SOS surface above a wall

Allan Sly, F. Martinelli, Eyal Lubetzky, 2012, 1207.3580.

Entropic repulsion in $|\nabla \phi|^p$ surfaces: a large deviation bound for all $p\geq 1$

F. Martinelli, F. Toninelli, P. Caputo, 2017 .

Entropic repulsion in $$|\nabla \phi |^p$$|∇ϕ|p surfaces: a large deviation bound for all $$p\ge 1$$p≥1

F. Martinelli, F. Toninelli, P. Caputo, 2017, 1701.03327.

Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case

P. Caputo, 2002, math/0202023.

Relaxation time of L-reversal chains and other chromosome shuffles

F. Martinelli, P. Caputo, N. Cancrini, 2004, math/0412449.

Nonlinear recombinations and generalized random transpositions

P. Caputo, D. Parisi, 2022, 2207.04775.

Entropy inequalities for random walks and permutations

P. Caputo, Alexandre Bristiel, 2021, ArXiv.

Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

P. Caputo, D. Ioffe, 2001, math/0110215.

Circular law theorem for random Markov matrices

C. Bordenave, P. Caputo, Djalil Chafaï, 2011, Probability Theory and Related Fields.

Cutoff at the “entropic time” for sparse Markov chains

C. Bordenave, P. Caputo, J. Salez, 2018, Probability Theory and Related Fields.

Random walk on sparse random digraphs

C. Bordenave, P. Caputo, J. Salez, 2017, Probability Theory and Related Fields.

Entropy decay in the Swendsen–Wang dynamics on Zd

A. Sinclair, Antonio Blanca, P. Caputo, 2022, The Annals of Applied Probability.

Large deviations of empirical neighborhood distribution in sparse random graphs

C. Bordenave, P. Caputo, 2014, Probability Theory and Related Fields.

Polymer dynamics in the depinned phase: metastability with logarithmic barriers

F. Martinelli, F. Toninelli, P. Caputo, 2010, 1007.4470.

Cutoff for the averaging process on the hypercube and complete bipartite graphs

P. Caputo, F. Sau, Matteo Quattropani, 2022, Electronic Journal of Probability.

Large deviations of empirical neighborhood distribution in sparse random graphs

Charles Bordenave, Pietro Caputo, C. Bordenave, 2013, 1308.5725.

MULTI-LEVEL PINNING PROBLEMS FOR RANDOM WALKS AND SELF-AVOIDING LATTICE PATHS

F. Martinelli, F. Toninelli, P. Caputo, 2014, 1410.2694.

Spectrum of large random reversible Markov chains

Charles Bordenave, Pietro Caputo, C. Bordenave, 2008 .

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

F. Martinelli, F. Toninelli, P. Caputo, 2013, 1302.6941.

A note on wetting transition for gradient fields

P. Caputo, Y. Velenik, 1999, math/9909057.

On Mixing of Markov Chains: Coupling, Spectral Independence, and Entropy Factorization

Antonio Blanca, P. Caputo, Eric Vigoda, 2021, SODA.

Entropy decay in the Swendsen–Wang dynamics on ℤd

A. Sinclair, Antonio Blanca, P. Caputo, 2021, Symposium on the Theory of Computing.

Entropy decay in the Swendsen-Wang dynamics

Eric Vigoda, Alistair Sinclair, Antonio Blanca, 2020, 2007.06931.

Entropy decay in the Swendsen-Wang dynamics on ${\mathbb Z}^d$

A. Sinclair, Antonio Blanca, P. Caputo, 2020 .

Polymer dynamics in the depinned phase: metastability with logarithmic barriers

F. Martinelli, F. Toninelli, P. Caputo, 2011, Probability Theory and Related Fields.

The Life and Mathematical Legacy of Thomas M. Liggett

Amber L. Puha, D. Aldous, R. Durrett, 2020, 2008.03137.

Spectral gap and cutoff phenomenon for the Gibbs sampler of ∇φ interfaces with convex potential

P. Caputo, Cyril Labbé, H. Lacoin, 2022, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Mixing Times of Monotone Surfaces and SOS Interfaces: A Mean Curvature Approach

F. Martinelli, F. Toninelli, P. Caputo, 2011, 1101.4190.

Large Deviations and¶Variational Principle for Harmonic Crystals

J. Deuschel, P. Caputo, 2000 .

Spectrum of large random Markov chains: Heavy-tailed weights on the oriented complete graph

C. Bordenave, Djalil CHAFAÏ, P. Caputo, 2016, 1610.01836.

A large deviation principle for Wigner matrices without Gaussian tails

C. Bordenave, P. Caputo, 2012, 1207.5570.

Rankings in directed configuration models with heavy tailed in-degrees pdf

Matteo Quattropani, Guillem Perarnau, Pietro Caputo, 2021, ArXiv.

Mixing time trichotomy in regenerating dynamic digraphs

P. Caputo, Matteo Quattropani, 2019, Stochastic Processes and their Applications.

Stationary distribution and cover time of sparse directed configuration models

P. Caputo, Matteo Quattropani, 2019, Probability Theory and Related Fields.

Mixing time of PageRank surfers on sparse random digraphs

Matteo Quattropani, Pietro Caputo, P. Caputo, 2019, Random Struct. Algorithms.

Block Factorization of the Relative Entropy via Spatial Mixing

Pietro Caputo, Daniel Parisi, P. Caputo, 2020, Communications in Mathematical Physics.

Approximate tensorization of entropy at high temperature

Prasad Tetali, Pietro Caputo, P. Tetali, 2014, 1405.0608.

Analysis of Top-Swap Shuffling for Genome Rearrangements.

Nayantara Bhatnagar, P. Tetali, P. Caputo, 2006, math/0609171.

Uniqueness, mixing, and optimal tails for Brownian line ensembles with geometric area tilt

P. Caputo, S. Ganguly, 2023, 2305.18280.

Spectral gap estimates for interacting particle systems via a Bochner-type identity

P. Caputo, G. Posta, A. Boudou, 2005, math/0505533.

Nonlinear dynamics for the Ising model

A. Sinclair, P. Caputo, 2023, 2305.18788.

ON THE SPECTRAL GAP OF THE KAC WALK AND OTHER BINARY COLLISION PROCESSES

P. Caputo, 2008, 0807.3415.

Spectral Gap Inequalities in Product Spaces with Conservation Laws

Pietro Caputo, P. Caputo, 2004 .

LECTURE NOTES ON ENTROPY AND MARKOV CHAINS

P. Caputo, 2022 .

Spatial mixing and nonlocal Markov chains pdf

Eric Vigoda, Alistair Sinclair, Antonio Blanca, 2017, SODA.