Found 90 Documents (Results 1–90)
Supercriticality conditions for branching walks in a random killing environment with a single reproduction centre. (English. Russian original) Zbl 1543.60106
Russ. Math. Surv. 78, No. 5, 961-963 (2023); translation from Usp. Mat. Nauk 78, No. 5, 181-182 (2023).
Reviewer: Isamu Dôku (Saitama)
Intermittency phenomena for mass distributions of stochastic flows with interaction. (English) Zbl 1532.60119
On the moments of branching random walk in a random medium with a Gumbelian potential. (English. Russian original) Zbl 1532.60175
Mosc. Univ. Math. Bull. 78, No. 4, 193-197 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 4, 49-53 (2023).
The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency. (English) Zbl 1527.60044
Parabolic Anderson model on critical Galton-Watson trees in a Pareto environment. (English) Zbl 1519.60105
Reviewer: Isamu Dôku (Saitama)
Lyapunov exponents of the SHE under general initial data. (English. French summary) Zbl 1508.60067
Symmetric branching random walks in random media: comparing theoretical and numerical results. (English) Zbl 1506.60095
Phase transitions in asymptotically singular Anderson Hamiltonian and parabolic model. (English) Zbl 1501.60035
Upper-tail large deviation principle for the ASEP. (English) Zbl 1485.60030
Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi)
On the variance of the particle number of a supercritical branching random walk on periodic graphs. (English. Russian original) Zbl 1484.82046
J. Math. Sci., New York 258, No. 6, 897-911 (2021); translation from Zap. Nauchn. Semin. POMI 486, 233-253 (2019).
Structure of the particle population for a branching random walk with a critical reproduction law. (English) Zbl 1476.60151
The parabolic Anderson model on a Galton-Watson tree. (English) Zbl 1469.60323
Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 591-635 (2021).
Fractional moments of the stochastic heat equation. (English. French summary) Zbl 1472.60051
A rough super-Brownian motion. (English) Zbl 1486.60087
Simulation of branching random walks on a multidimensional lattice. (English. Russian original) Zbl 1465.60076
J. Math. Sci., New York 254, No. 4, 469-484 (2021); translation from Fundam. Prikl. Mat. 22, No. 3, 37-56 (2018).
Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra. (English) Zbl 1460.35091
KPZ equation tails for general initial data. (English) Zbl 1456.60253
MSC:
60K35
Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model. (English) Zbl 1445.60061
Reviewer: Bastien Mallein (Villetaneuse)
The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. (English) Zbl 1435.60036
Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring. (English) Zbl 1487.60162
A new phase transition in the parabolic Anderson model with partially duplicated potential. (English) Zbl 1433.60066
Scaling limit and ageing for branching random walk in Pareto environment. (English. French summary) Zbl 1401.60183
Delocalising the parabolic Anderson model through partial duplication of the potential. (English) Zbl 1433.60065
Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails. (English) Zbl 1405.60105
Reviewer: Guy Jumarie (Montréal)
Intermittency for branching random walk in Pareto environment. (English) Zbl 1352.60133
Reviewer: Zakhar Kabluchko (Münster)
Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails. (English) Zbl 1332.60097
Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour. (English. French summary) Zbl 1321.60039
The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent. (English. French summary) Zbl 1314.60155
On chemical distances and shape theorems in percolation models with long-range correlations. (English) Zbl 1301.82027
Localisation and ageing in the parabolic Anderson model with Weibull potential. (English) Zbl 1308.60085
Reviewer: Guy Jumarie (Montréal)
Quenched asymptotics for Brownian motion in generalized Gaussian potential. (English) Zbl 1294.60101
Reviewer: Kun Soo Chang (Seoul)
Mild solution to parabolic Anderson model in Gaussian and Poisson potential. (English) Zbl 1301.60076
Large deviations for a symmetric branching random walk on a multidimensional lattice. (English. Russian original) Zbl 1300.60103
Proc. Steklov Inst. Math. 282, 186-201 (2013); translation from Tr. Mat. Inst. Steklova 282, 195-211 (2013).
Reviewer: Heinrich Hering (Rockenberg)
Distances in the highly supercritical percolation cluster. (English) Zbl 1290.60099
Reviewer: Carlos Gabriel Pacheco (México D. F.)
Symmetric branching walks in homogeneous and non homogeneous random environments. (English) Zbl 1260.60188
Branching processes with lattice spatial dynamics and a finite set of particle generation centers. (English. Russian original) Zbl 1270.60092
Dokl. Math. 86, No. 2, 638-641 (2012); translation from Dokl. Akad. Nauk. 446, No. 3, 259-262 (2012).
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
The discrete-time parabolic Anderson model with heavy-tailed potential. (English. French summary) Zbl 1266.60162
Reviewer: Utkir Rozikov (Tashkent)
Brownian motion and parabolic Anderson model in a renormalized Poisson potential. (English. French summary) Zbl 1279.60106
Reviewer: Mohamed Hmissi (Tunis)
Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models. (English) Zbl 1259.60094
Reviewer: Josef Steinebach (Köln)
An ergodic theorem of a parabolic Anderson model driven by Lévy noise. (English) Zbl 1272.60046
Reviewer: Kai Liu (Liverpool)
Ageing in the parabolic Anderson model. (English. French summary) Zbl 1268.82031
Reviewer: Dominik Strzałka (Rzeszów)
Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential. (English) Zbl 1229.82096
Intermittency and ageing for the symbiotic branching model. (English. French summary) Zbl 1222.60075
Reviewer: Achim Klenke (Mainz)
On a semilinear variational problem. (English) Zbl 1213.35222
Reviewer: Dian K. Palagachev (Bari)
On the moments and the interface of the symbiotic branching model. (English) Zbl 1219.60082
Reviewer: Valentin Topchii (Omsk)
Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential. (English) Zbl 1218.60086
Reviewer: Alex V. Kolnogorov (Novgorod)
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice. (English) Zbl 1210.82013
Potential confinement property of the parabolic Anderson model. (English) Zbl 1185.60073
Reviewer: Alexandra Rodkina (Kingston/Jamaica)
A two cities theorem for the parabolic Anderson model. (English) Zbl 1183.60024
Reviewer: Mihai Gradinaru (Rennes)
Weak and almost sure limits for the parabolic anderson model with heavy tailed potentials. (English) Zbl 1204.60061
Reviewer: Wolfgang König (Leipzig)
Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas. (English) Zbl 1149.82015
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
Geometric characterization of intermittency in the parabolic Anderson model. (English) Zbl 1126.60091
Reviewer: Jiří Černý (Zürich)
The universality classes in the parabolic Anderson model. (English) Zbl 1115.82030
Reviewer: Jiří Černý (Lausanne)
Intermittency in a catalytic random medium. (English) Zbl 1117.60065
Reviewer: Utkir Rozikov (Tashkent)
Annealed asymptotics for the parabolic Anderson model with a moving catalyst. (English) Zbl 1102.60058
Large scale localization of a spatial version of Neveu’s branching process. (English) Zbl 1107.60052
Reviewer: Heinrich Hering (Rockenberg)
Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. (English) Zbl 1099.82003
Reviewer: Farruh Mukhamedov (Aveiro)
Long-time tails in the parabolic Anderson model with bounded potential. (English) Zbl 1018.60093
Reviewer: Utkir Rozikov (Tashkent)
Limit theorems for the maximal eigenvalues of the mean-field Hamiltonian with random potential. (English) Zbl 0956.60023
Lith. Math. J. 39, No. 2, 117-133 (1999) and Liet. Mat. Rink. 39, No. 2, 147-168 (1999).
Reviewer: Klaus Fleischmann (Berlin)
MSC:
60F99
Superprocesses in random environments. (English) Zbl 0874.60041
Reviewer: F.Papangelou (Manchester)
On the chemical distance for supercritical Bernoulli percolation. (English) Zbl 0871.60089
Reviewer: M.Mürmann (Heidelberg)
Construction of the solution of 1-dimensional heat equation with white noise potential and its asymptotic behaviour. (English) Zbl 0876.60043
Reviewer: W.Grecksch (Halle)
MSC:
60H15
The propagation of travelling waves for stochastic generalized KPP equations. Appendix by J. G. Gaines. (English) Zbl 0807.60061
Brownian asymptotics in a Poissonian environment. (English) Zbl 0792.60100
Reviewer: A.-S.Sznitman (Zürich)
Brownian motion in a Poissonian potential. (English) Zbl 0794.60110
Reviewer: A.-S.Sznitman (Zürich)
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