:: Library Catalog

Saved in:

Bibliographic Details
Main Author:	Sarkar, Rohan
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	https://arxiv.org/abs/2512.08595
Tags:	Add Tag No Tags, Be the first to tag this record!

Dichotomy in the small-time asymptotics of spectral heat content for Lévy processes
by: Lee, Jaehun, et al.
Published: (2025)

A unified approach to the small-time behavior of the spectral heat content for isotropic Lévy processes
by: Kobayashi, Kei, et al.
Published: (2023)

Heat content for Gaussian processes: small-time asymptotic analysis
by: Kobayashi, Kei, et al.
Published: (2023)

Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets
by: Wang, Jie-Ming
Published: (2025)

Small-time heat decay for stable processes on fractal drums
by: Park, Hyunchul, et al.
Published: (2026)

Long-time asymptotics for multivariate Hawkes processes with long-range interactions
by: Belmabrouk, Nadia
Published: (2026)

Spectral theory of non-local Ornstein-Uhlenbeck operators
by: Sarkar, Rohan
Published: (2025)

Spectral theory for Lévy and Lévy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups
by: Gordina, Maria, et al.
Published: (2025)

The discrete renewal theorem with bounded interevent times
by: Shenoy, Rohan
Published: (2025)

More on the asymptotic behaviour of moments of branching Markov processes
by: Dean, Christopher B. C., et al.
Published: (2025)

Ergodicity, CLT and asymptotic maximum of the Airy$_1$ process
by: Pu, Fei
Published: (2023)

Small ball probability of collision local time for symmetric stable processes
by: Hong, Minhao, et al.
Published: (2026)

First-order behavior of the time constant in non-isotropic continuous first-passage percolation
by: Basdevant, Anne-Laure, et al.
Published: (2024)

Berry-Esseen bounds for large-time asymptotics of one-dimensional diffusion processes via Malliavin-Stein method
by: Kusuoka, Seiichiro, et al.
Published: (2024)

Small-time asymptotics for hypoelliptic diffusions
by: Földes, Juraj, et al.
Published: (2024)

Tail asymptotics and precise large deviations for some Poisson cluster processes
by: Baeriswyl, Fabien, et al.
Published: (2023)

Spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise
by: Shiozawa, Yuichi, et al.
Published: (2024)

Complete left-tail asymptotic for branching processes with immigration
by: Kutsenko, Anton A
Published: (2025)

Local asymptotic properties for the growth rate of a jump-type CIR process
by: Alaya, Mohamed Ben, et al.
Published: (2019)

Landscape k-complexity of isotropic centered Gaussian fields
by: Azaïs, Jean-Marc, et al.
Published: (2025)

Quartic variation of the solution to the semilinear stochastic heat equation: limit behavior and asymptotic independence with respect to the data
by: Cîmpean, I, et al.
Published: (2025)

Dirichlet heat kernel estimates for rectilinear stable processes
by: Chen, Zhen-Qing, et al.
Published: (2023)

Convergence of exclusion processes and KPZ equation to the KPZ fixed point
by: Quastel, Jeremy, et al.
Published: (2020)

Complete left tail asymptotic for branching processes in random environments
by: Kutsenko, Anton A
Published: (2025)

Complete left tail asymptotic for supercritical multitype branching processes
by: Kutsenko, Anton A.
Published: (2025)

Bivariate Bernstein-gamma functions, potential measures, and asymptotics of exponential functionals of Lévy processes
by: Minchev, Martin, et al.
Published: (2023)

Complete left tail asymptotic for the density of branching processes in the Schröder case
by: Kutsenko, Anton A.
Published: (2023)

General asymptotic representations of indexes based on the functional empirical process and the residual functional empirical process and applications
by: Lo, Gane Samb, et al.
Published: (2025)

Branching diffusion processes and spectral properties of Feynman-Kac semigroup
by: Collet, Pierre, et al.
Published: (2024)

From one-dimensional diffusion processes metastable behaviour to parabolic equations asymptotics
by: Landim, Claudio, et al.
Published: (2025)

Complete right tail asymptotic for the density of branching processes with fractional generating functions
by: Kutsenko, Anton A.
Published: (2025)

Introduction to Martingales
by: Shah, Rohan
Published: (2024)

Fluctuation theory for spectrally negative Lévy processes killed by additive functionals
by: Noba, Kei, et al.
Published: (2026)

Conservation operator processes from asymptotic representation theory and their CLT
by: Sato, Ryosuke
Published: (2025)

Precise asymptotics for the spectral radius of a large random matrix
by: Cipolloni, Giorgio, et al.
Published: (2022)

Quantitative low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains
by: Blassel, Noé, et al.
Published: (2025)

Total progeny for spectrally negative branching L{é}vy processes with absorption
by: Profeta, Christophe
Published: (2025)

Survival and maximum of spectrally negative branching L{é}vy processes with absorption
by: Profeta, Christophe
Published: (2023)

Long-time asymptotics of noisy SVGD outside the population limit
by: Priser, Victor, et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"e209801245b713a144ded8f4fc68509f"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784570015.2669 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e209801245b713a144ded8f4fc68509f" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=e209801245b713a144ded8f4fc68509f; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.85"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"1093"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_08595/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2512_08595/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784570015.2623
REQUEST_TIME	1784570015

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"e209801245b713a144ded8f4fc68509f"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784570015.2669 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "e209801245b713a144ded8f4fc68509f" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=e209801245b713a144ded8f4fc68509f; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.85"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"1093"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_08595/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2512_08595/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784570015.2623
REQUEST_TIME	1784570015

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: