16 Result(s)

Article

Existence and Uniqueness of Quasi-stationary Distributions for Symmetric Markov Processes with Tightness Property

Let X be an irreducible symmetric Markov process with the strong Feller property. We assume, in addition, that X is explosive and has a tightness property. We then prove the existence and uniqueness of quasi-stat...

Masayoshi Takeda in Journal of Theoretical Probability (2019)

Article

The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrödinger Operators

We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient conditio...

Masayoshi Takeda in Journal of Theoretical Probability (2018)

Chapter and Conference Paper

Symmetric Markov Processes with Tightness Property

A symmetric Markov process X is said to be in Class (T) if it is irreducible, Feller and possesses a tightness property. We give some properties of X in Class (T) and of the semi-group \(p_t\) of X: the un...

Masayoshi Takeda in Stochastic Partial Differential Equations and Related Fields (2018)

Article

A Large Deviation Principle for Symmetric Markov Processes with Feynman–Kac Functional

We establish a large deviation principle for the occupation distribution of a symmetric Markov process with Feynman–Kac functional. As an application, we show the L ^{p ...}

Masayoshi Takeda in Journal of Theoretical Probability (2011)

Article

Large Deviations for Additive Functionals of Symmetric Stable Processes

We establish the large deviation principle for additive functionals of symmetric α-stable processes employing the Gärtner-Ellis theorem.

Masayoshi Takeda in Journal of Theoretical Probability (2008)

Article

Variational Formula for Dirichlet Forms and Estimates of Principal Eigenvalues for Symmetric α-stable Processes

In this paper, we prove a variational formula for Dirichlet forms generated by general symmetric Markov processes. As its applications, we obtain lower bound estimates of the bottom of spectrum for symmetric ...

Yuichi Shiozawa, Masayoshi Takeda in Potential Analysis (2005)

Article

Large Deviation Principle for Additive Functionals of Brownian Motion Corresponding to Kato Measures

Let (B _t ,P ^W _x ) be the Brownian motion. Let μ be a Radon measure in the Kato class and A ^μ _...

Masayoshi Takeda in Potential Analysis (2003)

Article

Cloning and characterization of a jasmonic acid-responsive gene encoding 12-oxophytodienoic acid reductase in suspension-cultured rice cells

In suspension-cultured rice (Oryza sativa L.) cells, jasmonic acid (JA) functions as a signal transducer in elicitor N-acetylchitoheptaose-induced phytoalexin production. Differential screening of a cDNA library...

Hiroyuki Sobajima, Masayoshi Takeda, Miho Sugimori, Nobuyuki Kobashi… in Planta (2003)

Article

Exponential Decay of Lifetimes and a Theorem of Kac on Total Occupation Times

Let \((\tfrac{1}{2}D,H^1 (R^d ))\) be the Dirichlet integral and

Masayoshi Takeda in Potential Analysis (1999)

Article

Asymptotic Properties of Generalized Feynman–Kac Functionals

Let ( \({\mathcal{E}},{\mathcal{F}}\) ) be a regular Dirichlet form on L2(X;m) and {Px}x ∈ X the Hunt process generat...

Masayoshi Takeda in Potential Analysis (1998)

Article

Two classes of extensions for generalized Schrödinger operators

Two classes of extensions for generalized Schrödinger operators are considered. One is the Markovian self-adjoint extensions and the other is the extensions in Silverstein's sense. We prove that these classes ...

Masayoshi Takeda in Potential Analysis (1996)

Chapter and Conference Paper

On the uniquness of the markovian self-adjoint extension

Masayoshi Takeda in Stochastic Processes — Mathematics and Physics II (1987)

Chapter and Conference Paper

On a transformation of symmetric markov process and recurrence property

Yoichi Oshima, Masayoshi Takeda in Stochastic Processes — Mathematics and Physics II (1987)