Non-ergodicity for the noisy majority vote process on trees

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ding, Jian, Huang, Fenglin
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Non-ergodic inference for stationary-increment harmonizable stable processes
by: Hoang, Ly Viet, et al.
Published: (2024)

Non-reversible stationary states for majority voter and Ising dynamics on trees
by: Lammers, Piet, et al.
Published: (2022)

A noisy min-max game on trees
by: Angel, Omer, et al.
Published: (2026)

Phase transitions in low-dimensional long-range random field Ising models
by: Ding, Jian, et al.
Published: (2024)

Inferring the mixing properties of an ergodic process
by: Khaleghi, Azadeh, et al.
Published: (2021)

Asymptotic stability and mean ergodicity of Feller processes on Polish spaces
by: Liu, Ziyu, et al.
Published: (2025)

Averaging principle for jump processes depending on fast ergodic dynamics
by: Kagan, Vincent, et al.
Published: (2025)

On ergodic property of some Lévy-type processes in $\mathbb{R}^d$
by: Mokanu, Yana
Published: (2025)

Irreducibility and ergodicity of SPDEs driven by pure jump noise
by: Wang, Jian, et al.
Published: (2022)

Geometric ergodicity of modified Euler schemes for SDEs with super-linearity
by: Bao, Jianhai, et al.
Published: (2024)

$L^2$-exponential ergodicity of stochastic Hamiltonian systems with $α$-stable Lévy noises
by: Jianhai, Bao, et al.
Published: (2024)

Maximum likelihood estimation in the ergodic Volterra Ornstein-Uhlenbeck process
by: Alaya, Mohamed Ben, et al.
Published: (2024)

The fractional Poisson process and other limit point processes for rare events in infinite ergodic theory
by: Bansard-Tresse, Dylan
Published: (2024)

Exponential ergodicity of a degenerate age-size piecewise deterministic process
by: Madrid, Ignacio
Published: (2022)

Unbiased approximation of the ergodic measure for piecewise $α$-stable Ornstein-Uhlenbeck processes arising in queueing networks
by: Jin, Xinghu, et al.
Published: (2024)

Finite ergodic components for upper probabilities
by: Feng, Chunrong, et al.
Published: (2024)

On ergodicity of the SAGA-LD algorithm
by: Rásonyi, Miklós
Published: (2026)

Phase transition of the 3-majority opinion dynamics with noisy interactions
by: d'Amore, Francesco, et al.
Published: (2021)

Estimating sample paths of Gauss-Markov processes from noisy data
by: Davies, Benjamin
Published: (2024)

Learning models on rooted regular trees with majority update policy: convergence and phase transition
by: Podder, Moumanti, et al.
Published: (2024)

Notes on eventual continuity and ergodicity for SPDEs
by: Liu, Ziyu
Published: (2025)

Large deviations of the empirical measures of a strong-Feller Markov process inside a subset and quasi-ergodic distribution
by: Guillin, Arnaud, et al.
Published: (2024)

Law of large numbers and central limit theorem for ergodic quantum processes
by: Pathirana, Lubashan, et al.
Published: (2023)

Asymptotic behaviour of the noisy voter model density process
by: Pymar, Richard, et al.
Published: (2021)

Exponential ergodicity of Stochastic Evolution Equations with reflection
by: Brzezniak, Zdzislaw, et al.
Published: (2025)

Linearization of ergodic McKean SDEs and applications
by: Pavliotis, Grigorios A., et al.
Published: (2025)

Geometric ergodicity of a stochastic Hamiltonian system
by: Nguyen, Hung D., et al.
Published: (2023)

Some remarks on the ergodic theorem for $U$-statistics
by: Dehling, Herold G., et al.
Published: (2023)

Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations
by: Hofmanová, Martina, et al.
Published: (2022)

Excursion theory for Markov processes indexed by Levy trees
by: Riera, Armand, et al.
Published: (2024)

Convergence of the pruning processes of stable Galton-Watson trees
by: Ojeda, Gabriel Berzunza, et al.
Published: (2023)

Construction of ergodic IDLA forests in $\mathbb{Z}^d$
by: Chenavier, Nicolas, et al.
Published: (2025)

On ergodic property of the solution to a Lévy-driven SDE
by: Knopova, Victoria, et al.
Published: (2024)

Exponential ergodicity of stochastic heat equations with Hölder coefficients
by: Han, Yi
Published: (2022)

Some notes on ergodic theorem for $U$-statistics of order $m$ for stationary and not necessarily ergodic sequences
by: Giraudo, Davide
Published: (2023)

A note on the uniform ergodicity of diffusion processes
by: Sandrić, Nikola
Published: (2025)

A degree-biased cutting process for random recursive trees
by: Eslava, Laura, et al.
Published: (2024)

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states
by: Monmarché, Pierre
Published: (2025)

Deep learning scheme for forward utilities using ergodic BSDEs
by: Broux-Quemerais, Guillaume, 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	"b234f20e6498436b5ec04bbada9a12e5"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790863260.324 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b234f20e6498436b5ec04bbada9a12e5" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

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=b234f20e6498436b5ec04bbada9a12e5; 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	"216.73.216.147"
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	"31204"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_16202/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_16202/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790863260.3149
REQUEST_TIME	1790863260

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"b234f20e6498436b5ec04bbada9a12e5"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790863260.324 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b234f20e6498436b5ec04bbada9a12e5" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

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=b234f20e6498436b5ec04bbada9a12e5; 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	"216.73.216.147"
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	"31204"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_16202/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_16202/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790863260.3149
REQUEST_TIME	1790863260

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: