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Articles
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo, Bing Li, Ville Suomala, Yimin Xiao
Electron. J. Probab. 22, 1-18, (2017) DOI: 10.1214/16-EJP4658
KEYWORDS: Random covering set, hitting probability, dimension of intersection, 60D05, 28A80
Christian Döbler, Giovanni Peccati
Electron. J. Probab. 22, 1-35, (2017) DOI: 10.1214/16-EJP19
KEYWORDS: quantitative CLTs, de Jong’s Theorem, Exchangeable pairs, Hoeffding decomposition, degenerate $U$-statistics, multidimensional convergence, Stein’s method, 60F05, 62E17, 62E20
Michael A. Kouritzin, Wei Sun, Jie Xiong
Electron. J. Probab. 22, 1-2, (2017) DOI: 10.1214/16-EJP21
KEYWORDS: Nonlinear filtering, reflecting diffusion, random environment, nonparametric estimation, pathwise average distance, particle filter, 60G35, 62M20
Xu Yang, Xiaowen Zhou
Electron. J. Probab. 22, 1-48, (2017) DOI: 10.1214/16-EJP23
KEYWORDS: Stochastic partial differential equation, Stochastic heat equation, stable white noise, Pathwise uniqueness, Hölder continuity, 60H15, 60J68
Raphaël Forien, Sarah Penington
Electron. J. Probab. 22, 1-68, (2017) DOI: 10.1214/16-EJP20
KEYWORDS: Generalised Fleming-Viot process, Population genetics, limit theorems, Fisher-KPP equation, Stochastic heat equation, 60G57, 60F05, 60J25, 92D10, 60G15
Marcel Ortgiese, Matthew I. Roberts
Electron. J. Probab. 22, 1-20, (2017) DOI: 10.1214/16-EJP22
KEYWORDS: Branching random walk, random environment, parabolic Anderson, Intermittency, Localization, 60K37, 60J80
Martin Grothaus, Robert Voßhall
Electron. J. Probab. 22, 1-37, (2017) DOI: 10.1214/17-EJP27
KEYWORDS: Sticky reflection, boundary diffusions, Wentzell boundary conditions, strong Feller properties, interacting particle systems, singular interactions, 60J50, 60J60, 58J65, 31C25, 35J15, 60K35
Amarjit Budhiraja, Wai-Tong Louis Fan
Electron. J. Probab. 22, 1-37, (2017) DOI: 10.1214/17-EJP25
KEYWORDS: weakly interacting particle systems, uniform propagation of chaos, McKean-Vlasov equations, kinetic equations, chemotaxis, reinforced diffusions, Patlak-Keller-Segel equations, granular media equations, uniform exponential concentration bounds, long time behavior, uniform in time Euler approximations, 60K35, 60H30, 60H35, 60K40, 60F05
Ben Morris, Anastasia Raymer
Electron. J. Probab. 22, 1-29, (2017) DOI: 10.1214/16-EJP11
KEYWORDS: fifteen puzzle, mixing time, interchange process, 60J10
Ohad N. Feldheim, Arnab Sen
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP24
KEYWORDS: random polynomials, double roots, anti-concentration, algebraic numbers, 60C05, 60G50
Janne Junnila, Eero Saksman
Electron. J. Probab. 22, 1-31, (2017) DOI: 10.1214/17-EJP28
KEYWORDS: multiplicative chaos, uniqueness, Critical temperature, 60G57, 60G15, 60K35, 60G60
Yuval Peres, Thomas Sauerwald, Perla Sousi, Alexandre Stauffer
Electron. J. Probab. 22, 1-16, (2017) DOI: 10.1214/16-EJP18
KEYWORDS: intersection time, Random walk, mixing time, martingale, Doob’s maximal inequality, 60J10
Ivan Corwin, Mihai Nica
Electron. J. Probab. 22, 1-49, (2017) DOI: 10.1214/17-EJP32
KEYWORDS: Directed polymers, Stochastic heat equation, KPZ, scaling limits, Partition function, non-intersecting processes, 60F05, 82C05
Martin Kolb, Mladen Savov
Electron. J. Probab. 22, 1-29, (2017) DOI: 10.1214/17-EJP4468
KEYWORDS: Brownian motion, Poisson obstacles, limit theorems for condititioned processes, 60G51, 60G55, 60F17
Quan Shi
Electron. J. Probab. 22, 1-25, (2017) DOI: 10.1214/17-EJP26
KEYWORDS: Growth-fragmentation, Lévy process, self-similarity, 60G51, 60J80
Souvik Dhara, Remco van der Hofstad, Johan S.H. van Leeuwaarden, Sanchayan Sen
Electron. J. Probab. 22, 1-33, (2017) DOI: 10.1214/17-EJP29
KEYWORDS: Critical configuration model, finite third moment degree, Brownian excursions with parabolic drift, scaling window, multiplicative coalescent, Universality, 60C05, 05C80
Takashi Owada
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP30
KEYWORDS: Extreme value theory, functional central limit theorem, geometric graph, regular variation, von-Mises function, 60G70, 60D05, 60G15, 60G18
Tobias Johnson, Anne Schilling, Erik Slivken
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP36
KEYWORDS: permutations, trees, Fixed points, sorting algorithm, Poisson point process, Stein’s method, weak convergence, 60J80, 05C05, 05A05, 60C05, 60F99
Vitalii Konarovskyi
Electron. J. Probab. 22, 1-31, (2017) DOI: 10.1214/17-EJP34
KEYWORDS: modified Arratia flow, Interacting particle system, coalescing, asymptotic behavior, Clusters, 82B21, 60K35, 60D05
Larbi Alili, Loïc Chaumont, Piotr Graczyk, Tomasz Żak
Electron. J. Probab. 22, 1-18, (2017) DOI: 10.1214/17-EJP33
KEYWORDS: Self-similar Markov processes, Markov additive processes, Time change, inversion, Duality, Doob $h$-transform, 60J45, 31C05, 60J65, 60J75
Bénédicte Haas
Electron. J. Probab. 22, 1-25, (2017) DOI: 10.1214/17-EJP31
KEYWORDS: Random trees, line–breaking, uniform recursive trees, 05C05, 60J05
Yuriy Nemish
Electron. J. Probab. 22, 1-35, (2017) DOI: 10.1214/17-EJP38
KEYWORDS: random matrices, circular law, Stieltjes transform, Local law, 60B20
Yuri Kifer
Electron. J. Probab. 22, 1-17, (2017) DOI: 10.1214/17-EJP39
KEYWORDS: laws of large numbers, large deviations, nonconventional sums, hyperbolic diffeomorphisms, Markov chains, 60F15, 60F10, 60F17, 37D20
Sebastian Riedel
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP40
KEYWORDS: bifractional Brownian motion, concentration of measure, Gaussian processes, Rough paths, Stochastic differential equations, Transportation inequalities, 28C20, 60F10, 60G15, 60H10
Johannes Alt, László Erdős, Torben Krüger
Electron. J. Probab. 22, 1-41, (2017) DOI: 10.1214/17-EJP42
KEYWORDS: capacity of MIMO channels, Marchenko-Pastur law, hard edge, soft edge, general variance profile, 60B20, 15B52
Cécile Mailler, Jean-François Marckert
Electron. J. Probab. 22, 1-33, (2017) DOI: 10.1214/17-EJP47
KEYWORDS: Pólya urns, limit theorems, branching Markov chains, branching random walks, 60J80
Benjamin Dadoun
Electron. J. Probab. 22, 1-30, (2017) DOI: 10.1214/17-EJP45
KEYWORDS: Growth-fragmentation, self-similarity, additive martingale, 60J25, 60G18, 60F15
Yu Gu, Jean-Christophe Mourrat
Electron. J. Probab. 22, 1-21, (2017) DOI: 10.1214/17-EJP51
KEYWORDS: Gaussian free field, Markov property, Stochastic homogenization, Corrector, 60G60, 35R60, 35B27
Janko Gravner, David Sivakoff
Electron. J. Probab. 22, 1-20, (2017) DOI: 10.1214/17-EJP43
KEYWORDS: Bootstrap percolation, critical probability, gradual transition, sharp transition, 60K35
Ziliang Che
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP46
KEYWORDS: correlated random matrix, spetral statistics, Universality, 60B20, 15B52
Marc Arnaudon, Xue-Mei Li
Electron. J. Probab. 22, 1-55, (2017) DOI: 10.1214/17-EJP41
KEYWORDS: Brownian motion, reflection, Local time, Boundary, stochastic flow, heat equation, 60G
Avi Levy
Electron. J. Probab. 22, 1-19, (2017) DOI: 10.1214/17-EJP35
KEYWORDS: Proper coloring, Directed graph, weighted graph, m-dependence, stationary process, shift of finite type, 60G10, 05C15, 60C05
Vladas Sidoravicius, Augusto Teixeira
Electron. J. Probab. 22, 1-35, (2017) DOI: 10.1214/17-EJP50
KEYWORDS: Particle systems, absorption, sandpiles, non-equilibrium phase transitions, 60K35, 82C20, 82C22, 82C26
C.M. Newman, K. Ravishankar, E. Schertzer
Electron. J. Probab. 22, 1-42, (2017) DOI: 10.1214/17-EJP37
KEYWORDS: voter model, Potts model, Scaling limit, Poisson point process, Brownian web, Brownian net, Brownian net with killing, 60F17, 60K35, 82B20, 82C22
Timothy Budd, Nicolas Curien
Electron. J. Probab. 22, 1-37, (2017) DOI: 10.1214/17-EJP55
KEYWORDS: Random planar map, Scaling limit, Peeling process, graph distance, Stable processes, 05C80, 05C12, 60G52, 05C81
Johannes Carmesin, Bruno Federici, Agelos Georgakopoulos
Electron. J. Probab. 22, 1-19, (2017) DOI: 10.1214/17-EJP44
KEYWORDS: Liouville property, hyperbolic graph, infinite graph, amenability, transience, flow, Harmonic function, 57M15, 05C63, 05C81, 31C20
Jason Schweinsberg
Electron. J. Probab. 22, 1-94, (2017) DOI: 10.1214/17-EJP57
KEYWORDS: population model, selection, rate of adaptation, 60J27, 60J75, 60J80, 92D15, 92D25
Jason Schweinsberg
Electron. J. Probab. 22, 1-54, (2017) DOI: 10.1214/17-EJP58
KEYWORDS: population model, selection, Bolthausen-Sznitman coalescent, 60J27, 60J75, 60J80, 92D15, 92D25
Alison Etheridge, Nic Freeman, Daniel Straulino
Electron. J. Probab. 22, 1-36, (2017) DOI: 10.1214/17-EJP61
KEYWORDS: Brownian net, spatial $\Lambda $-Fleming-Viot, branching, coalescing, 60G99, 60K35
Matthias Erbar, Christopher Henderson, Georg Menz, Prasad Tetali
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP49
KEYWORDS: Ricci curvature, Modified logarithmic Sobolev inequality, Markov chain, Ising model, hardcore model, Random walk, Cayley graph, 60K35, 60J22, 60B15
Nils Berglund, Giacomo Di Gesù, Hendrik Weber
Electron. J. Probab. 22, 1-27, (2017) DOI: 10.1214/17-EJP60
KEYWORDS: Stochastic partial differential equations, metastability, Kramers’ law, renormalisation, potential theory, Capacities, spectral Galerkin approximation, Wick calculus, 60H15, 35K57, 81S20, 82C28
Julien Chevallier
Electron. J. Probab. 22, 1-49, (2017) DOI: 10.1214/17-EJP63
KEYWORDS: Hawkes process, central limit theorem, interacting particle systems, Stochastic partial differential equation, neural network, 60G55, 60F05, 60G57, 60H15, 92B20
Robert Fitzner, Remco van der Hofstad
Electron. J. Probab. 22, 1-65, (2017) DOI: 10.1214/17-EJP56
KEYWORDS: percolation, mean-field theory, Lace expansion, non-backtracking walk, Perturbation theory, 60K35, 82B43, 82B27
Jim Pitman, Yuri Yakubovich
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP59
KEYWORDS: GEM samples, order statistics, sample maximum, random discrete distribution, size-biased permutation, 60G70, 60G09, 60F05
Ewain Gwynne, Xin Sun
Electron. J. Probab. 22, 1-56, (2017) DOI: 10.1214/17-EJP64
KEYWORDS: Fortuin-Kasteleyn model, Random planar maps, hamburger-cheeseburger bijection, Random walks in cones, scaling limits, Local limit theorems, Liouville quantum gravity, 60F17, 60G50, 82B27
Valentin Konakov, Stéphane Menozzi
Electron. J. Probab. 22, 1-47, (2017) DOI: 10.1214/17-EJP53
KEYWORDS: Diffusion processes, Euler scheme, Parametrix, Hölder coefficients, Piecewise smooth bounded drifts, 60H10, 65C30
Stéphane Seuret, Xiaochuan Yang
Electron. J. Probab. 22, 1-36, (2017) DOI: 10.1214/17-EJP48
KEYWORDS: Markov and Lévy processes, occupation measure, Hausdorff measure and dimension, 60H10, 60J25, 60J75, 28A80, 28A78
Ennio Fedrizzi, Franco Flandoli, Enrico Priola, Julien Vovelle
Electron. J. Probab. 22, 1-42, (2017) DOI: 10.1214/17-EJP65
KEYWORDS: Kinetic equation, degenerate SDE, Regularization by noise, hypoelliptic regularity, 35R60, 60H15, 35R05, 60H30, 60H10
Jean-Baptiste Gouéré, Marie Théret
Electron. J. Probab. 22, 1-21, (2017) DOI: 10.1214/17-EJP67
KEYWORDS: Boolean model, continuum percolation, first passage percolation, critical point, Time constant, 60K35, 82B43
Hubert Lacoin, Julien Sohier
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP66
KEYWORDS: pinning model, disorder relevance, Stable laws, Harris criterion, 60K35, 60K37, 82B27, 82B44
David Aldous, Russell Lyons
Electron. J. Probab. 22, 1-4, (2017) DOI: 10.1214/17-EJP73
KEYWORDS: amenability, equivalence relations, infinite graphs, percolation, quasi-transitive, Random walks, transitivity, weak convergence, reversibility, Trace, Stochastic comparison, Spanning forests, sofic groups, 60C05, 60K99, 05C80
Aurélien Deya
Electron. J. Probab. 22, 1-40, (2017) DOI: 10.1214/17-EJP69
KEYWORDS: stochastic PDEs, Fractional noise, Rough paths theory, regularity structures theory, Malliavin calculus, 60H15, 60G22, 60H07
Benjamin Groux
Electron. J. Probab. 22, 1-40, (2017) DOI: 10.1214/17-EJP4326
KEYWORDS: random matrices, large deviations, Free convolution, Subordination property, spectral measure, Stieltjes transform, information-plus-noise model, 60B20, 46L54, 60F10
Peter J. Forrester, Dong Wang
Electron. J. Probab. 22, 1-43, (2017) DOI: 10.1214/17-EJP62
KEYWORDS: Muttalib–Borodin ensembles, Determinantal processes, biorthogonal polynomials, 60B20, 15B52, 82D35, 30E10
Wenqing Hu, Konstantinos Spiliopoulos
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP72
KEYWORDS: large deviations, hypoelliptic multiscale diffusions, Homogenization‎, hypocoercivity, non-gradient systems, 60F10, 60G99, 60H10, 35H10
Andrey Sarantsev, Li-Cheng Tsai
Electron. J. Probab. 22, 1-20, (2017) DOI: 10.1214/17-EJP78
KEYWORDS: Competing Brownian particles, infinite Atlas model, stationary distribution, gap process, 60H10, 60J60, 60K35
Firas Rassoul-Agha, Timo Seppäläinen, Atilla Yilmaz
Electron. J. Probab. 22, 1-47, (2017) DOI: 10.1214/17-EJP74
KEYWORDS: Random walk, Dynamic random environment, large deviations, averaged, quenched, empirical process, Donsker-Varadhan relative entropy, specific relative entropy, Doob $h$-transform, nonstationary process, 60K37, 60F10, 82C41, 82C44
Xinxin Chen, Grégory Miermont
Electron. J. Probab. 22, 1-15, (2017) DOI: 10.1214/17-EJP68
KEYWORDS: Brownian bridge in hyperbolic space, Brownian continuum random tree, infinite Brownian loop, asymptotic cone, Gromov-Hausdorff convergence, 60F17, 58J65
Jürgen Angst, Guillaume Poly
Electron. J. Probab. 22, 1-24, (2017) DOI: 10.1214/17-EJP77
KEYWORDS: Cramér condition, small ball estimate, Edgeworth expansion, 60E10, 60G50, 62E20, 62E17
Haokai Xi, Fan Yang, Jun Yin
Electron. J. Probab. 22, 1-77, (2017) DOI: 10.1214/17-EJP76
KEYWORDS: local circular law, anisotropic local law, deformation, Universality, 15B52, 60B20, 82B44
Antonio Auffinger, Wei-Kuo Chen
Electron. J. Probab. 22, 1-17, (2017) DOI: 10.1214/17-EJP70
KEYWORDS: large deviation, Legendre duality, Parisi formula, Spin glass, 60F10, 82D30
Paul-Marie Samson
Electron. J. Probab. 22, 1-33, (2017) DOI: 10.1214/17-EJP54
KEYWORDS: concentration of measure, random permutation, Symmetric group, slices of the discrete cube, Transport inequalities, Ewens distribution, Chinese restaurant process, Deviation’s inequalities for configuration functions, 60E15, 32F32, ‎39B62, 26D10
Benjamin Fehrman
Electron. J. Probab. 22, 1-37, (2017) DOI: 10.1214/17-EJP79
KEYWORDS: Diffusion processes in random environment, Stochastic homogenization, Dirichlet boundary-value problem, 35B27, 60K37, 35J25, 60H25, 60J60
Paul Bourgade, Jiaoyang Huang, Horng-Tzer Yau
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP81
KEYWORDS: sparse random graphs, eigenvectors, isotropic local law, 05C80, 05C50, 60B20, 15B52
Xia Chen, Yaozhong Hu, David Nualart, Samy Tindel
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP83
KEYWORDS: Stochastic heat equation, fractional Brownian motion, Feynman-Kac formula, Wiener chaos expansion, Intermittency, 60G15, 60H07, 60H10, 65C30
Nicolas Pétrélis, Rongfeng Sun, Niccolò Torri
Electron. J. Probab. 22, 1-19, (2017) DOI: 10.1214/17-EJP87
KEYWORDS: Self-avoiding walk, prudent walk, scaling limits, 82B41, 60F05, 60K35
Nina Gantert, Stefan Junk
Electron. J. Probab. 22, 1-34, (2017) DOI: 10.1214/17-EJP75
KEYWORDS: Branching random walk, random environment, survival, 60K37, 60J80, 82D60
Ajay Chandra, Hao Shen
Electron. J. Probab. 22, 1-32, (2017) DOI: 10.1214/17-EJP84
KEYWORDS: Stochastic partial differential equations, Regularity structures, 60H15 Stochastic Partial Differential Equations
Shinichi Kotani, Fumihiko Nakano
Electron. J. Probab. 22, 1-31, (2017) DOI: 10.1214/17-EJP91
KEYWORDS: random Schrödinger operators, Poisson statistics, Sine beta process, 60F05, 60H25
Alessandra Bianchi, Sander Dommers, Cristian Giardinà
Electron. J. Probab. 22, 1-34, (2017) DOI: 10.1214/17-EJP98
KEYWORDS: inclusion process, metastability, potential theory, capacity, 60K35, 82C22, 82C20
Chang-Song Deng, René L. Schilling
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP82
KEYWORDS: Harnack inequality, fractional Brownian motion, random time-change, Stochastic differential equation, 60G22, 60H10, 60G15
Alejandro Gomez, Jong Jun Lee, Carl Mueller, Eyal Neuman, Michael Salins
Electron. J. Probab. 22, 1-17, (2017) DOI: 10.1214/17-EJP95
KEYWORDS: uniqueness, blowup, Stochastic differential equations, wave equation, White noise, Stochastic partial differential equations, 60H10, 60H15
Chaman Kumar, Sotirios Sabanis
Electron. J. Probab. 22, 1-19, (2017) DOI: 10.1214/17-EJP89
KEYWORDS: explicit Euler-type scheme, super-linear drift and diffusion coefficients, SDE driven by Lévy noise, random coefficients, strong convergence, delay equations, 60H35, 65C30
Tulasi Ram Reddy
Electron. J. Probab. 22, 1-18, (2017) DOI: 10.1214/17-EJP85
KEYWORDS: random polynomials, random rational functions, Zeros, critical points, Gauss-Lucas theorem, potential theory, 30C15, 60G57, 60B10
Michael Damron, Jack Hanson, Philippe Sosoe
Electron. J. Probab. 22, 1-43, (2017) DOI: 10.1214/17-EJP88
KEYWORDS: Critical percolation, Chemical distance, scaling exponents, 60K35, 82B43
Patrick E. Müller
Electron. J. Probab. 22, 1-56, (2017) DOI: 10.1214/17-EJP94
KEYWORDS: large deviations, Interacting diffusion, interacting particle systems, local mean-field McKean-Vlasov equation, 60K35, 60F10, 82C22
Steffen Dereich, Christian Mönch, Peter Mörters
Electron. J. Probab. 22, 1-38, (2017) DOI: 10.1214/17-EJP92
KEYWORDS: Scale-free network, small world, Barabási-Albert model, preferential attachment, inhomogeneous random graph, dynamical random graph, power law, Giant component, Critical phenomena, graph distance, diameter, 05C82, 05C80, 60C05, 90B15
Olivier Garet, Régine Marchand, Eviatar B. Procaccia, Marie Théret
Electron. J. Probab. 22, 1-35, (2017) DOI: 10.1214/17-EJP90
KEYWORDS: continuity, First-passage percolation, Time constant, isoperimetric constant, 60K35, 82B43
Patrik L. Ferrari, Bálint Vető
Electron. J. Probab. 22, 1-32, (2017) DOI: 10.1214/17-EJP97
KEYWORDS: Non-colliding walks, Determinantal processes, Tacnode process, edge scaling limit, 60B20, 60G55, 60J65, 60J10
Nicolas Broutin, Minmin Wang
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP105
KEYWORDS: Brownian continuum random tree, Aldous–Pitman fragmentation, cut tree, random cutting of random trees, 60J80, 60C05, 60G18, 60F15
Mark Holmes, Thomas S. Salisbury
Electron. J. Probab. 22, 1-18, (2017) DOI: 10.1214/17-EJP107
KEYWORDS: Random walk, non-elliptic random environment, Zero-one law, Ballisticity, invariance principle, 60K37
David Croydon, Ben Hambly, Takashi Kumagai
Electron. J. Probab. 22, 1-41, (2017) DOI: 10.1214/17-EJP99
KEYWORDS: Bouchaud trap model, FIN diffusion, Fractal, Gromov-Hausdorff convergence, Liouville Brownian motion, Local time, Random conductance model, Resistance form, time-change, 60J35, 60J55, 28A80, 60J10, 60J45, 60K37
James B. Martin, Balázs Ráth
Electron. J. Probab. 22, 1-47, (2017) DOI: 10.1214/17-EJP100
KEYWORDS: multiplicative coalescent, Erdős-Rényi random graph, frozen percolation, 60J99, 60B12, 05C80
Ewain Gwynne, Jason Miller
Electron. J. Probab. 22, 1-47, (2017) DOI: 10.1214/17-EJP102
KEYWORDS: Random planar maps, Brownian map, Brownian half-plane, uniform infinite half-plane quadrangulation, Gromov-Hausdorff-Prokhorov-uniform topology, 60D05, 60F17, 05C80
Sandeep Bhupatiraju, Jack Hanson, Antal A. Járai
Electron. J. Probab. 22, 1-51, (2017) DOI: 10.1214/17-EJP111
KEYWORDS: Abelian sandpile, Critical exponent, wave, Uniform spanning tree, Loop-erased random walk, 60K35, 82B20
Souvik Dhara, Debankur Mukherjee, Subhabrata Sen
Electron. J. Probab. 22, 1-29, (2017) DOI: 10.1214/17-EJP109
KEYWORDS: Minimum bisection, Max-cut, fixed degree sequence, phase transition, 05C80, 68R10, 68Q87
Kai Krokowski, Christoph Thäle
Electron. J. Probab. 22, 1-30, (2017) DOI: 10.1214/17-EJP106
KEYWORDS: Discrete Malliavin calculus, intrinsic volume, multivariate central limit theorem, smart path method, subgraph count, random graph, random cubical complex, vertex degree, 60F05, 05C80, 60C05, 60D05, 60H07
Noam Berger, Ran J. Tessler
Electron. J. Probab. 22, 1-19, (2017) DOI: 10.1214/17-EJP103
KEYWORDS: Edwards Anderson, Spin glass, percolation, 60K35, 82B20, 82D40
Hao Wu, Dapeng Zhan
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP110
KEYWORDS: Schramm Loewner Evolution, boundary arm exponents, 60J67
Robert Hough
Electron. J. Probab. 22, 1-49, (2017) DOI: 10.1214/17-EJP108
KEYWORDS: Random walk on a group, random lattice, cut-off phenomenon, embedded hypercube, 60B10, 60B15, 60G50, 60J60, 11H06, 11A63
Laurent Miclo
Electron. J. Probab. 22, 1-32, (2017) DOI: 10.1214/17-EJP114
KEYWORDS: one-dimensional diffusions, Hypoellipticity, duality by intertwining, Bessel 3 process, Hörmander’s density theorem, strong stationary times, 60J60, 60J35, 60H30, 35K65, 60F05, 37A25
Enrique Guerra, Alejandro F. Ramírez
Electron. J. Probab. 22, 1-41, (2017) DOI: 10.1214/17-EJP93
KEYWORDS: Random walk in random environment, ballisticity conditions, cone-mixing, 60K37, 82C41, 82D30
François David, Antti Kupiainen, Rémi Rhodes, Vincent Vargas
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP113
KEYWORDS: Liouville quantum field theory, Gaussian multiplicative chaos, KPZ formula, Polyakov formula, punctures, cusp singularity, uniformization theorem, 81T40, 81T20, 60D05
Fuqing Gao
Electron. J. Probab. 22, 1-21, (2017) DOI: 10.1214/17-EJP104
KEYWORDS: additive functional, hypercontractivity, long time asymptotics, Moderate deviation, Perturbation theory, 60F10, 60J55, 60H10, 47A55
Camille Pagnard
Electron. J. Probab. 22, 1-53, (2017) DOI: 10.1214/17-EJP96
KEYWORDS: Random trees, Markov branching trees, Local limits, scaling limits, Self-similar fragmentation trees, GHP topology, Galton-Watson trees, 60J80, 60F17
Christian Döbler, Robert E. Gaunt, Sebastian J. Vollmer
Electron. J. Probab. 22, 1-39, (2017) DOI: 10.1214/17-EJP118
KEYWORDS: Stein’s method, Stein equation, Differential equation, Poisson equation, Variance-Gamma distribution, 60F05, 35A24
Marco Furlan, Jean-Christophe Mourrat
Electron. J. Probab. 22, 1-29, (2017) DOI: 10.1214/17-EJP121
KEYWORDS: tightness criterion, local Besov spaces, Ising model, 60F17, 60G60, 82B20
Oleg Butkovsky, Michael Scheutzow
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP122
KEYWORDS: Stochastic functional differential equations, invariant measure, Lyapunov function, Veretennikov–Khasminskii condition, 34K50, 37L40, 60J60
Ion Grama, Quansheng Liu, Eric Miqueu
Electron. J. Probab. 22, 1-23, (2017) DOI: 10.1214/17-EJP71
KEYWORDS: branching processes, random environment, harmonic moments, large deviations, Phase transitions, central limit theorem, 60J80, 60K37, 60J05, 60J85, 92D25
Tom Hutchcroft, Yuval Peres
Electron. J. Probab. 22, 1-20, (2017) DOI: 10.1214/17-EJP116
KEYWORDS: Planar graphs, Harmonic functions, Poisson boundary, Martin boundary, Random walk, Circle packing, square tiling, Rough isometry, 05C81
Sevak Mkrtchyan, Leonid Petrov
Electron. J. Probab. 22, 1-24, (2017) DOI: 10.1214/17-EJP112
KEYWORDS: lozenge tilings, interlacing, Volume measure, central limit theorem, Gaussian unitary ensemble, 60C05, 60B20
Gia Bao Nguyen, Daniel Remenik
Electron. J. Probab. 22, 1-40, (2017) DOI: 10.1214/17-EJP119
KEYWORDS: Non-intersecting Brownian motions, KPZ universality class, Airy process, polymer endpoint distribution, 60J65, 60B20, 82C23
Alison Etheridge, Nic Freeman, Sarah Penington
Electron. J. Probab. 22, 1-40, (2017) DOI: 10.1214/17-EJP127
KEYWORDS: Branching Brownian motion, Mean curvature flow, hybrid zones, spatial $\Lambda $-Fleming-Viot, Population genetics, 60J85, 92D15
Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma
Electron. J. Probab. 22, 1-68, (2017) DOI: 10.1214/17-EJP125
KEYWORDS: Stochastic partial differential equation, complex Ginzburg-Landau equation, regularity structure, Paracontrolled distribution, renormalization, 60H15, 82C28
Christian Hirsch, Tim Brereton, Volker Schmidt
Electron. J. Probab. 22, 1-21, (2017) DOI: 10.1214/17-EJP129
KEYWORDS: Euclidean minimal spanning forest, percolation, nearest-neighbor graph, relative neighborhood graph, rate of convergence, 60D05, 82B43
Dorottya Beringer, Gábor Pete, Ádám Timár
Electron. J. Probab. 22, 1-26, (2017) DOI: 10.1214/17-EJP124
KEYWORDS: percolation, critical probability, Local weak convergence, unimodular random rooted graphs, 60K35, 82B43, 60B99, 05C80
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