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Statistical Properties of Eigenvalues of Laplace-Beltrami Operators

期刊: JOURNAL OF THEORETICAL PROBABILITY, ; ()

We study the eigenvalues of a Laplace-Beltrami operator defined on the set of the symmetric polynomials, where the eigenvalues are expressed in terms ......

Large Deviation Principles of Realized Laplace Transform of Volatility

期刊: JOURNAL OF THEORETICAL PROBABILITY, ; ()

Under the scenario of high-frequency data, a consistent estimator of the realized Laplace transform of volatility is proposed by Todorov and Tauchen (......

Higher-Order Derivative of Self-Intersection Local Time for Fractional Brownian Motion

期刊: JOURNAL OF THEORETICAL PROBABILITY, ; ()

We consider the existence and Holder continuity conditions for the k-th-order derivatives of self-intersection local time for d-dimensional fractional......

Local Convergence of Critical Random Trees and Continuous-State Branching Processes

期刊: JOURNAL OF THEORETICAL PROBABILITY, ; ()

We study the local convergence of critical Galton-Watson trees and Levy trees under various conditionings. Assuming a very general monotonicity proper......

Approximations of McKean-Vlasov Stochastic Differential Equations with Irregular Coefficients

期刊: JOURNAL OF THEORETICAL PROBABILITY, ; ()

The goal of this paper is to approximate two kinds of McKean-Vlasov stochastic differential equations (SDEs) with irregular coefficients via weakly in......

Resolvent Decomposition Theorems and Their Application in Denumerable Markov Processes with Instantaneous States

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (4)

The basic aim of this paper is to provide a fundamental tool, the resolvent decomposition theorem, in the construction theory of denumerable Markov pr......

Percolative Properties of Brownian Interlacements and Its Vacant Set

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (4)

In this article, we investigate the percolative properties of Brownian interlacements, a model introduced by Sznitman (Bull Braz Math Soc New Ser 44(4......

Cramer Moderate Deviation Expansion for Martingales with One-Sided Sakhanenko's Condition and Its Applications

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (2)

We give a Cramer moderate deviation expansion for martingales with differences having finite conditional moments of order 2+rho,rho is an element of (......

On Hitting Time, Mixing Time and Geometric Interpretations of Metropolis-Hastings Reversiblizations

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (2)

Given a target distribution mu and a proposal chain with generator Q on a finite state space, in this paper, we study two types of Metropolis-Hastings......

On the Convergence of FK-Ising Percolation to SLE(16/3,(16/3)-6)

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (2)

We give a simplified and complete proof of the convergence of the chordal exploration process in critical FK-Ising percolation to chordal SLE kappa. O......

A Donsker-Type Theorem for Log-Likelihood Processes

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (3)

Let (Omega, F, (F) t >= 0, P) be a complete stochastic basis, and X be a semimartingale with predictable compensator ( B, C,.). Consider a family o......

Subgeometric Rates of Convergence for Discrete-Time Markov Chains Under Discrete-Time Subordination

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (1)

In this paper, we are concerned with the subgeometric rate of convergence of a Markov chain with discrete-time parameter to its invariant measure in t......

Gradient Estimates and Exponential Ergodicity for Mean-Field SDEs with Jumps

期刊: JOURNAL OF THEORETICAL PROBABILITY, 2020; 33 (1)

In this paper, we study mean-field stochastic differential equations with jumps. By Malliavin calculus for Wiener-Poisson functionals, sharp gradient ......

Self-normalized Moderate Deviations for Random Walk in Random Scenery

期刊: JOURNAL OF THEORETICAL PROBABILITY, 0; ()

Let be a symmetric and aperiodic random walk on and a collection of independent and identically distributed random variables. Consider a random walk i......

Hausdorff Measure of the Range of Space-Time Anisotropic Gaussian Random Fields

期刊: JOURNAL OF THEORETICAL PROBABILITY, 0; ()

Let X = {X(t) is an element of R-d, t is an element of R-N} be a centered space-time anisotropic Gaussian random field with stationary increments, who......

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