:: Library Catalog

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Baranzini, Stefano, Bialy, Misha, Sorrentino, Alfonso
Format:	Preprint
Publié:	2025
Sujets:	Dynamical Systems
Accès en ligne:	https://arxiv.org/abs/2509.06915
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Outer billiards of symplectically self-polar convex bodies
par: Berezovik, Mark, et autres
Publié: (2025)

Remarks on the outer length billiards
par: Bialy, Misha, et autres
Publié: (2026)

On the rigidity of the stable norm and Mather's β-function for geodesic flows
par: Florio, Anna, et autres
Publié: (2025)

Locally Maximizing orbits for multi-dimensional Twist maps and Birkhoff billiards
par: Bialy, Misha, et autres
Publié: (2023)

Non-integrability of n-centre billiards
par: Baranzini, Stefano
Publié: (2025)

On the existence of periodic invariant curves for analytic families of twist maps and billiards
par: Fierobe, Corentin, et autres
Publié: (2024)

Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems
par: Sorrentino, Alfonso, et autres
Publié: (2026)

Deformational spectral rigidity of axially-symmetric symplectic billiards
par: Fierobe, Corentin, et autres
Publié: (2024)

A billiard table close to an ellipse is deformationally spectrally rigid among dihedrally symmetric domains
par: Fierobe, Corentin, et autres
Publié: (2025)

Open problems in billiards and quantitative symplectic geometry
par: Albach, Bernhard, et autres
Publié: (2026)

Integrable Billiards and Related Topics
par: Bialy, Misha, et autres
Publié: (2025)

On the Birkhoff conjecture for Kepler billiards
par: Baranzini, Stefano, et autres
Publié: (2025)

On the Zoll deformations of the Kepler problem
par: Luca, Asselle, et autres
Publié: (2024)

Billiards with singular invariant curves
par: Baranzini, Stefano
Publié: (2025)

On the role of the surface geometry in convex billiards
par: Carneiro, Mario Jorge Dias, et autres
Publié: (2023)

Chaoticity of generic analytic convex billiards
par: Baldomá, Inmaculada, et autres
Publié: (2026)

Relativistic one-dimensional billiards
par: Artigue, Alfonso
Publié: (2025)

Non-convex Mather's theory and the Conley conjecture on the cotangent bundle of the torus
par: Viterbo, Claude
Publié: (2018)

On John Mather's Work
par: Hu, Sen
Publié: (2025)

Characterizing nonuniform hyperbolicity by Mather-type admissibility
par: Chemnitz, Robin, et autres
Publié: (2024)

Spectral rigidity among ellipses, Bialy's conjecture and local extrema of Mather's beta function
par: Fierobe, Corentin
Publié: (2026)

On the Destruction of Invariant Lagrangian Graphs for Conformal Symplectic Twist Maps
par: Sorrentino, Alfonso, et autres
Publié: (2025)

Mathers regions of instability for annulus diffeomorphisms
par: Addas-Zanata, Salvador, et autres
Publié: (2021)

On the set of asymptotic homologies of orbits on invariant Lagrangian graphs
par: Ruggiero, Rafael Oswaldo, et autres
Publié: (2024)

Breaking of invariant curves: from the Fermi-Ulam map to the breathing circle billiard
par: Lamas, José, et autres
Publié: (2026)

A challenger to elliptic billiards fails: String construction over convex polygons and the Birkhoff--Poritsky conjecture
par: Bunimovich, Leonid, et autres
Publié: (2023)

On Hamiltonian projective billiards on boundaries of products of convex bodies
par: Glutsyuk, Alexey
Publié: (2024)

Homoclinic points for convex billiards
par: Xia, Zhihong, et autres
Publié: (2013)

Existence of stable periodic orbits in billiards close to lemon and moon billiards
par: Grigo, Alexander
Publié: (2026)

Another billiard problem
par: Bolotin, Sergey, et autres
Publié: (2025)

Symmetric periodic orbits in symmetric billiards
par: Gonçcalves, Geraldo César Ferreira, et autres
Publié: (2023)

Non-colliding billiards in the plane
par: Benjamini, Itai, et autres
Publié: (2026)

Exploration of billiards with Keplerian potential
par: Barutello, Vivina L., et autres
Publié: (2023)

Starting the study of outer length billiards
par: Baracco, Luca, et autres
Publié: (2025)

On balance properties of hypercubic billiard words
par: Bédaride, Nicolas, et autres
Publié: (2025)

Periodic orbits for square and rectangular billiards
par: Chen, Hongjia H., et autres
Publié: (2024)

Stable laws for heavy-tailed observables on polynomially mixing billiards
par: Nicol, Matthew, et autres
Publié: (2026)

On infinitely many foliations by caustics in strictly convex open billiards
par: Glutsyuk, Alexey
Publié: (2021)

Non-Birkhoff periodic orbits in symmetric billiards
par: Oelen, Casper, et autres
Publié: (2025)

Lazutkin coordinates and the conjugation problem for billiard maps
par: Fierobe, Corentin
Publié: (2025)

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
ui	"standard"
language	"fr"
VUFIND_SESSION	"2f16cdf3c1cda15b1a0c946658ad1158"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784377658.8713 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2f16cdf3c1cda15b1a0c946658ad1158" ]`]
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	"ui=standard; language=fr; VUFIND_SESSION=2f16cdf3c1cda15b1a0c946658ad1158"
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	"216.73.217.30"
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	"40742"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2509_06915/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2509_06915/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784377658.8673
REQUEST_TIME	1784377658

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler