Keywords: primary; 60J55; secondary; 60G51; 60J45; 60H10; Additive functionals; Subordinate Brownian motion; Purely discontinuous Girsanov transform; Absolute continuity; Singularity; Relative entropy;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 60H15; 60G15; 60J45; secondary; 60G60; 60H07; Systems of stochastic Poisson equations; Hitting probabilities; Capacity; Hausdorff measure;
One dimensional random walks killed on a finite set
Keywords: primary; 60G50; secondary; 60J45; Exterior domain; Transition probability; Escape from a finite set; Hitting probability of a finite set; Potential theory;
Keywords: 60G52; 60G51; 60J45; Symmetric stable processes; Hitting time; Poisson summation formula;
Keywords: 60J80; 60J45; 60J40; 60J35; 47D07; 60K35; Fragmentation equation; Fragmentation kernel; Stochastic differential equation of fragmentation; Discrete branching process; Branching kernel; Branching semigroup; Excessive function; Absorbing set; Measure-valued
Keywords: 60J45; 58J65; 60J60; Harnack inequality; Configuration space; Second quantization; Coupling;
Keywords: primary; 60J45; secondary; 60J25; 60J50; Lévy processes; Subordinate Brownian motions; Harmonic functions; Boundary Harnack principle; Poisson kernel; Heat kernel; Green function;
Keywords: primary; 60J25; 60J60; secondary; 60J45; 60J99; Bessel processes; Skew Bessel processes; Green's function; Time inversion;
Semilinear elliptic equations with Dirichlet operator and singular nonlinearities
Keywords: 35J75; 60J45; Semilinear elliptic equations; Probabilistic potential theory; Dirichlet form; Additive functional;
L-Kuramoto-Sivashinsky SPDEs vs. time-fractional SPIDEs: Exact continuity and gradient moduli, 1/2-derivative criticality, and laws
Keywords: 60H15; 60H20; 60H30; 45H05; 45R05; 35R60; 60J45; 60J35; 60J60; 60J65; Time-fractional stochastic partial-integral equations (SPIDEs); L-Kuramoto-Sivashinsky SPDEs; Brownian-time processes; Gaussian random fields; Kernel stochastic integral equations;
L-Kuramoto-Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift-Hohenberg law equivalence
Keywords: 35R60; 60H15; 35R11; 35G99; 60H20; 60H30; 42A38; 45H05; 45R05; 60J45; 60J35; 60J60; 60J65; L-Kuramoto-Sivashinsky (S)PDEs; Swift-Hohenberg (S)PDE; Linear and nonlinear fourth order (S)PDEs; L-KS kernel; Imaginary-Brownian-time-Brownian-angle process
Bounded and LpLp-weak solutions for nonlinear equations of measure-valued branching processes
Keywords: 35J10; 35J60; 35G30; 60J45; 60J68; 60J80; 60J35; 47D07; 60J57; 31D05Nonlinear PDE; Nonlinear Dirichlet problem; LpLp-weak solution; LpLp-resolvent; Measure perturbation; Discrete branching process; Space of finite configurations; Branching kernel; Measure
Unavoidable collections of balls for isotropic Lévy processes
Keywords: primary; 60J45; 60G51; secondary; 31B15; Isotropic Lévy process; Green function; Minimal thinness at infinity;
Oscillation of harmonic functions for subordinate Brownian motion and its applications
Keywords: primary; 31B25; 60J75; secondary; 60J45; 60J50; Oscillation of harmonic functions; Subordinate Brownian motion; Relative Fatou type theorem; Martin kernel; Martin boundary; Harmonic function; Martin representation;
Hitting of a line or a half-line in the plane by two-dimensional symmetric stable Lévy processes
Keywords: 60G52; 60G51; 60J45; 60J55; 60G44Fluctuation identities in two dimension; Two-dimensional stable processes; First hitting distribution; Local time
Capacities in Wiener space, quasi-sure lower functions, and Kolmogorov’s εε-entropy
Keywords: 60J45; 60J65; 28C20Capacity in Wiener space; Lower functions; Kolmogorov entropy
Wiener’s criterion for the unique solvability of the Dirichlet problem in arbitrary open sets with non-compact boundaries
Keywords: 35J05; 31D05; 31C15; 60J45; 60J65Harmonic function; Laplace equation; Dirichlet problem; Wiener’s criterion; Unbounded domain; Non-compact boundary; Regularity (or irregularity) of infinity; Uniqueness; Singular Dirichlet problem; Removable singularity
A non-linear Riesz respresentation in probabilistic potential theory
Keywords: 60J45; 60G40;
The short-cut test
Keywords: 31C25; 60J45; 47J10; 28A80; Laplace operator; Diffusion; Nonlinear eigenvalue problem; Fractal;
Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
Keywords: 58J05; 58J35; 58J65; 60J45; 60J60; 60H30; Bakry-Emery Ricci curvature; C0-diffusion property; L1-uniqueness; Liouville theorems;