Phase transition in equilibrium fluctuations of symmetric slowed exclusion
Keywords: 60K35; 26A24; 35K55Equilibrium fluctuations; Phase transition; Slowed exclusion
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Zero-range condensation at criticality
Keywords: 60K35; 82C22Zero-range process; Condensation; Conditional maximum; Subexponential tails
Percolation of even sites for random sequential adsorption
Keywords: 60K35; 82B43; Dependent percolation; Random sequential adsorption; Critical points;
Stochastic processes with proportional increments and the last-arrival problem
Keywords: primary; 60K35; secondary; 60G40; Martingales; Reverse martingales; Lévy processes; Optimal stopping problems; Game version; No-information version; Well-posedness; Hadamard's criteria; Shannon entropy; Pascal processes; 1/e-law; Monotone subsequence p
Properties of the limit shape for some last-passage growth models in random environments
Keywords: 60K35; 60K37; 60K25Corner growth model; Random environment; Limit shape; Last-passage percolation; Queues in series
Slow and fast scales for superprocess limits of age-structured populations
Keywords: 60J80; 60K35; 60G57Interacting particle system; Age-structure; Superprocess; Slow and fast scales; Trait-structured density-dependent population
The complete convergence theorem holds for contact processes in a random environment on ZdÃZ+
Keywords: 60K35; Contact process; Random environment; Half space; Graphical representation; Block condition; Dynamic renormalization; Complete convergence theorem;
Convergence of multi-class systems of fixed possibly infinite sizes
Keywords: 60K35; 60B10; 60G09; 62B05Interacting particle systems; Multi-class systems; Mixtures; Partial exchangeability; de Finetti Theorem
Critical point and percolation probability in a long range site percolation model on ZdZd
Keywords: 60K35; 82B41; 82B43Long range percolation; Percolation threshold
Finite size percolation in regular trees
Keywords: primary; 60K35; Percolation on trees; Largest open cluster; Longest success run; Galton-Watson processes; Chen-Stein method for Poisson approximation;
Long-term behaviour of a cyclic catalytic branching system
Keywords: primary; 60J60; 60J70; secondary; 60J80; 60K35; Stochastic differential equations; Degenerate operators; Catalytic branching networks; Diffusions; Mutations;
RR-positivity of nearest neighbor matrices and applications to Gibbs states
Keywords: 60J10; 60K35; 82BNearest neighbors; RR-positivity; Gibbs measures; Geometric ergodicity
Directed polymers on hierarchical lattices with site disorder
Keywords: 60K35; 82B44; 82B28; 37F25Hierarchical models; Free energy; Dynamical system; Directed polymers
Equilibrium fluctuations for exclusion processes with conductances in random environments
Keywords: 60K35; 35B27; 60F05; 46A11Exclusion processes; Homogenization; Equilibrium fluctuations; Nuclear spaces
Strong uniqueness for a class of singular SDEs for catalytic branching diffusions
Keywords: primary; 60J80; 60H10; secondary; 60K35; 60J60;
Existence of an infinite particle limit of stochastic ranking process
Keywords: 82C22; 60K35; 91B02Stochastic ranking process; Hydrodynamic limit; Dependent random variables; Law of large numbers
On the purity of the free boundary condition Potts measure on random trees
Keywords: 60K35; 82B20; 82B44Potts model; Gibbs measures; Random tree; Reconstruction problem; Free boundary condition
Distributional limits for the symmetric exclusion process
Keywords: 60K35; Exclusion processes; Negative association; Negative dependence; Central limit theorems; Stability of polynomials;
Large scale properties of the IIIC for 2D percolation
Keywords: 60K35; 82B43Inhomogeneous percolation; Incipient infinite cluster; Critical exponents
Conformal covariance of the Abelian sandpile height one field
Keywords: 60K35; 82C22Abelian sandpile model; Scaling limit; Determinantal process; Conformal covariance
Some rigorous results on semiflexible polymers, I: Free and confined polymers
Keywords: 60K35; 82B41Semiflexible polymer; Functional CLT; Confinement
Biased random walk in a one-dimensional percolation model
Keywords: 60J10; 60K35; 60K37Percolation; Random walk; Asymptotic speed
The quenched critical point of a diluted disordered polymer model
Keywords: 60K35; 60F05; 82B41Polymer model; Copolymer; Pinning model; Wetting model; Phase transition; Renormalization; Coarse-graining
Exceptional times for the dynamical discrete web
Keywords: 60K35; 60G17; 60G50Coalescing random walks; Exceptional times; Dynamical random walks; Brownian web; Hausdorff dimension; Law of the iterated logarithm; Sticky random walks
Sharp phase transition and critical behaviour in 2D divide and colour models
Keywords: 60K35; 82B43; 82B20Dependent percolation; Sharp phase transition; Critical behaviour; Duality; DaC model; RSW theorem; pc=1/2pc=1/2
Stochastic coalescence with homogeneous-like interaction rates
Keywords: 60K35; 60J25Coalescence; Homogeneous coagulation kernels; Stochastic interacting particle systems
New large deviation results for some super-Brownian processes
Keywords: 60J25; 60J80; 60J85; 60K35; 60F10Super-Brownian motion; Integrated super-Brownian excursion; Large deviations; Brownian snake; Schilder theorem
Heterogeneous credit portfolios and the dynamics of the aggregate losses
Keywords: 60K35; 91B70Central limit theorems in Banach spaces; Credit contagion; Intensity based models; Large deviations; Large portfolio losses; Random environment
Limit theorems for individual-based models in economics and finance
Keywords: 60K35; 60B12; 46N30; 62P50; 91B70Individual-based model; Interacting particle system; Law of large numbers; Central limit theorem; Fluctuation process; Measure-valued process; Finance; Economics
Ideal gas approximation for a two-dimensional rarefied gas under Kawasaki dynamics
Keywords: 60K35; 82C26; 82C20Lattice gas; Kawasaki dynamics; Stable; Metastable and unstable gas; Independent random walks; Quasi-Random Walks; Non-superdiffusivity; Diffusive spread-out property; Large deviations
Space-time dependence dynamics for birth-death point processes
Keywords: 60G55; 60K35; 62H11; 62M30;
The disk-percolation model on graphs
Keywords: 60K35; 60J80; 05C05; 82B26
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
Keywords: 35L65; 60K35; 82C22Hyperbolic conservation laws; Discontinuous flux functions; Measure-valued; Entropy solutions; Entropy conditions; Uniqueness; Hydrodynamic limits; Microscopic; Particle systems; Zero range process; Discontinuous speed-parameter; Compac
The capacity of q-state Potts neural networks with parallel retrieval dynamics
Keywords: 82C32; 82B44; 60K35; Potts network; Neural networks; Storage capacity; Hopfield model;
The dynamic of entropic repulsion
Keywords: 60K35; 82C24; 35K55Entropic repulsion; Ginzburg–Landau model; Effective interfaces; Massless fields
Restricting SLE(8/3 ) to an annulus
Keywords: 60K35; 60H30; SLE; Restriction; Annulus; Conformal invariance; Elliptic functions;
Upper large deviations for the maximal flow in first-passage percolation
Keywords: 60K35; 60F10First-passage percolation; Large deviations; Maximal flow; Max-flow min-cut
Harness processes and harmonic crystals
Keywords: 60K35; 82B; 82CHarness process; Linear Gaussian processes; Surface dynamics
Polymer pinning at an interface
Keywords: 82B41; 60K35; 60K37Polymers; Localization–delocalization transition; Pinning; Random walk; Wetting
The process of most recent common ancestors in an evolving coalescent
Keywords: primary; 60K35; secondary; 92D25Kingman’s coalescent; Look-down process; Most recent common ancestor
A microscopic interpretation for adaptive dynamics trait substitution sequence models
Keywords: 60F99; 60K35; 92D15Measure-valued process; Interacting particle system; Mutation-selection processes; Darwinian evolution; Trait substitution sequence; Adaptive dynamics; Finite dimensional distributions convergence; Timescale separation; Stochastic domin
Strong uniqueness for cyclically symbiotic branching diffusions
Keywords: 60K35; secondary 60J60, 60J80; Catalyst; Reactant; Superprocess; Cyclically catalytic branching; Stochastic equation; Cyclic reaction; Growth of moments; Moment equation system; Moment dual;
Two-dimensional Poisson Trees converge to the Brownian web
Keywords: 60K35; 60F17; Brownian web; Poisson tree; Coalescing one-dimensional Brownian motions;
Exclusion processes on groups: entropy production density and reversibility
Keywords: 82C22; 60K35; Entropy production density; Reversibility; Exclusion process;
Pinning by a sparse potential
Keywords: 60K35; 60K37; 82B41; Polymer; Interface; Random environment; Pinning; Localization;
The storage capacity of the Hopfield model and moderate deviations
Keywords: 82C32; 82B44; 60K35; Hopfield model; Neural networks; Storage capacity; Moderate deviations; Large deviations; Spin glasses;
Increasing coupling of probabilistic cellular automata
Keywords: 60K35; 60E15; 60J10; 82C20; 37B15; 68W10; Probabilistic cellular automata; Stochastic ordering; Monotone coupling;
On the speed of a planar random walk avoiding its past convex hull
Keywords: primary; 60K35; secondary; 60G50; 52A22; Convex hull; Large deviations; Law of large numbers; Random walk; Self avoiding; Speed;
The voter model with anti-voter bonds
Keywords: 60K35; Voter model; Random walk;
On an invariance principle for phase separation lines
Keywords: 60F15; 60K15; 60K35; 82B20; 37C30; Ising model; Random path representation; Ornstein-Zernike decay of correlations; Brownian bridge; Ruelle operator; Renormalization; Local limit theorems;