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Bibliographic Details
Main Author:	Tsuchida, Kaneharu
Format:	Preprint
Published:	2026
Subjects:	Probability 60J45 (Primary) 60J76, 31C25 (Secondary)
Online Access:	https://arxiv.org/abs/2603.11570
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Heat kernel estimates for Markov processes with jump kernels blowing-up at the boundary
by: Cho, Soobin, et al.
Published: (2025)

Heat kernel estimates for Markov processes in bounded sets with jump kernels decaying at the boundary
by: Cho, Soobin, et al.
Published: (2025)

Heat kernel estimates for Dirichlet forms degenerate at the boundary
by: Cho, Soobin, et al.
Published: (2022)

Heat kernel estimates for boundary traces of reflected diffusions on uniform domains
by: Kajino, Naotaka, et al.
Published: (2023)

Stability of storage processes with general release rates
by: Brešar, Miha, et al.
Published: (2025)

Feller property and convergence for semigroups of time-changed processes
by: BenAmor, Ali, et al.
Published: (2024)

The martingale problem for geometric stable-like processes
by: Iyer, Sarvesh Ravichandran
Published: (2024)

On a convergence of positive continuous additive functionals in terms of their smooth measures
by: Nishimori, Yasuhito, et al.
Published: (2024)

Existence and Convergence of Interacting Particle Systems on Graphs
by: Mazumder, Kuldeep Guha
Published: (2024)

Markov processes with jump kernels decaying at the boundary
by: Cho, Soobin, et al.
Published: (2024)

Continuity of the Revuz correspondence under the absolute continuity condition
by: Noda, Ryoichiro
Published: (2025)

Convergence of space-time occupation measures of stochastic processes and its application to collisions
by: Noda, Ryoichiro
Published: (2025)

Kemeny's Constant for Markov Processes
by: Fitzsimmons, P. J.
Published: (2025)

Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion
by: Andres, Sebastian, et al.
Published: (2025)

Smooth measures and positive continuous additive functionals attached to a compact nest
by: Ooi, Takumu, et al.
Published: (2025)

Characterization of subordinate symmetric Markov processes
by: Kushida, Ryuto
Published: (2024)

Stability of Hölder regularity and weighted functional inequalities
by: Cho, Soobin, et al.
Published: (2025)

Scaling limits of discrete-time Markov chains and their local times on electrical networks
by: Noda, Ryoichiro
Published: (2024)

Littlewood--Paley estimates for pure-jump Dirichlet forms
by: Gutowski, Michał
Published: (2025)

A simplified characterization of stable-like heat kernel estimates
by: Murugan, Mathav
Published: (2026)

Wiener-type Criterion for the Removability of the Fundamental Singularity for the Heat Equation and its Consequences
by: Abdulla, Ugur G.
Published: (2025)

Removability of the Fundamental Singularity for the Heat Equation and its Consequences. I. Kolmogorov-Petrovsky-type test
by: Abdulla, Ugur G.
Published: (2023)

Towards a characterization of elliptic Harnack inequality for jump processes
by: Malmquist, Jens
Published: (2025)

Exact rate of convergence for the empirical measure of a subordinated process in $p$-Wasserstein distance
by: Schilling, René L., et al.
Published: (2025)

Distance to stationarity and open set recurrence for ergodic processes on the unit interval with a Bernstein or a Siegmund dual
by: Cordero, Fernando, et al.
Published: (2025)

Generalized Kac's moment formula for positive continuous additive functionals of Markov processes
by: Kajino, Naotaka, et al.
Published: (2025)

A Discovery Tour in Random Riemannian Geometry
by: Schiavo, Lorenzo Dello, et al.
Published: (2020)

Brownian motion with asymptotically normal reflection in unbounded domains: from transience to stability
by: Brešar, Miha, et al.
Published: (2023)

Subexponential lower bounds for $f$-ergodic Markov processes
by: Brešar, Miha, et al.
Published: (2024)

Classification and Metrization of Classes of Smooth measures
by: Ooi, Takumu, et al.
Published: (2026)

Homogenization of diffusion processes with singular drifts and potentials via unfolding method
by: Uemura, Toshihiro, et al.
Published: (2023)

Near critical asymptotics in the Frozen Erdős-Rényi
by: Viau, Vincent
Published: (2024)

Phase transition of the consistent maximal displacement of branching Brownian motion
by: Berestycki, Julien, et al.
Published: (2024)

The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
by: Berestycki, Julien, et al.
Published: (2024)

Tessellation-valued processes that are generated by cell division
by: Martínez, Servet, et al.
Published: (2023)

A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
by: Gao, Yifan, et al.
Published: (2024)

Nonlinear Hardy-Stein type identities for harmonic functions relative to symmetric integro-differential operators
by: Klimsiak, Tomasz, et al.
Published: (2025)

Sampling on Discrete Spaces with Temporal Point Processes
by: Stewart, Cameron A., et al.
Published: (2026)

Residual Diffusivity for Expanding Bernoulli Maps
by: Cooperman, William, et al.
Published: (2025)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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