Zeta Spectral Triples

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Connes, Alain, Consani, Caterina, Moscovici, Henri
Format:	Preprint
Publié:	2025
Sujets:	Number Theory Functional Analysis Operator Algebras 58B34, 11M06, 11M55, 33D60, 34B20
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Zeta zeros and prolate wave operators
par: Connes, Alain, et autres
Publié: (2023)

The Riemann Hypothesis: Past, Present and a Letter Through Time
par: Connes, Alain
Publié: (2026)

Heat Expansion and Zeta
par: Connes, Alain
Publié: (2024)

Knots, Primes and the adele class space
par: Connes, Alain, et autres
Publié: (2024)

On the Jacobian of $\overline{{{\rm Spec}\,\mathbb Z}}$
par: Connes, Alain, et autres
Publié: (2026)

Noncommutative geometry on the Berkovich projective line
par: Khalkhali, Masoud, et autres
Publié: (2024)

On q-series and the moment problem associated to local factors
par: Connes, Alain, et autres
Publié: (2024)

Noncommutative metric geometry of quantum circle bundles
par: Kaad, Jens
Publié: (2024)

Knots, primes and class field theory
par: Connes, Alain, et autres
Publié: (2025)

Spectral metrics on quantum projective spaces
par: Mikkelsen, Max Holst, et autres
Publié: (2023)

Quantum Hamming Metrics
par: Rieffel, Marc A.
Publié: (2025)

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity
par: Hekkelman, Eva-Maria, et autres
Publié: (2024)

Pseudodifferential Operators on Noncommutative Tori: a Survey
par: Jiménez, Carolina Neira
Publié: (2023)

On generalized Stirling numbers and special functions
par: Mezlini, Kamel, et autres
Publié: (2024)

The diagonal and Hadamard grade of hypergeometric functions
par: Harder, Andrew, et autres
Publié: (2025)

Kernels and point processes associated with Whittaker functions
par: Blower, Gordon, et autres
Publié: (2015)

On $β=6$ Tracy-Widom distribution and the second Calogero-Painlevé system
par: Its, Alexander, et autres
Publié: (2020)

Spectral Triples on a non-standard presentation of Effros-Shen AF algebras
par: Aguilar, Konrad, et autres
Publié: (2025)

$L^p$ coarse Baum-Connes conjecture via $C_{0}$ coarse geometry
par: Wang, Hang, et autres
Publié: (2023)

Uniform asymptotic expansions for generalised trigonometric integrals and their zeros
par: Dunster, T. M.
Publié: (2025)

Two error bounds of the elliptic asymptotics for the fifth Painlevé transcendents
par: Shimomura, Shun
Publié: (2023)

Explicit error term of the elliptic asymptotics for the first Painlevé transcendents
par: Shimomura, Shun
Publié: (2023)

Kapaev's global asymptotics of the fourth Painlevé transcendents. Elliptic asymptotics
par: Shimomura, Shun
Publié: (2024)

From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
par: Eynard, Bertrand, et autres
Publié: (2019)

A BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series
par: Cloitre, Benoit
Publié: (2025)

A gamma function in two variables
par: Bachraoui, Mohamed El
Publié: (2013)

Proof of Kaneko--Tsumura Conjecture on Triple T-Values
par: Berger, Sasha, et autres
Publié: (2020)

Quantum metrics on crossed products with groups of polynomial growth
par: Austad, Are, et autres
Publié: (2023)

Elliptic asymptotic representation of the fifth Painlevé transcendents
par: Shimomura, Shun
Publié: (2020)

Collapse in Noncommutative Geometry and Spectral Continuity
par: Farsi, Carla, et autres
Publié: (2024)

The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
par: Aguilar, Konrad, et autres
Publié: (2026)

Isometry groups of inductive limits of metric spectral triples and Gromov-Hausdorff convergence
par: Bassi, Jacopo, et autres
Publié: (2023)

Quantum metrics from length functions on étale groupoids
par: Austad, Are
Publié: (2026)

On the Bures metric, C*-norm, and the quantum metric
par: Aguilar, Konrad, et autres
Publié: (2024)

Alternating Apéry-Type Series and Colored Multiple Zeta Values of Level Eight
par: Xu, Ce, et autres
Publié: (2022)

Divided Differences and Multivariate Holomorphic Calculus
par: Hartmann, Luiz, et autres
Publié: (2024)

The quantum metric structure of quantum SU(2)
par: Kaad, Jens, et autres
Publié: (2022)

Determining the Indeterminate: On the Evaluation of Integrals that connect Riemann's, Hurwitz' and Dirichlet's Zeta, Eta and Beta functions
par: Milgram, Michael
Publié: (2021)

On some algebraic and geometric aspects of the quantum unitary group
par: Jana, Debabrata
Publié: (2024)

Bailey-Zeta Limits: A $q$-Series Bridge to Dirichlet $L$-Functions and the Riemann Zeta Function
par: Gurram, Mahipal
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
language	"fr"
ui	"standard"
VUFIND_SESSION	"614ae75d0f72f080275bf113dcc86291"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790883836.8169 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "614ae75d0f72f080275bf113dcc86291" ]`]
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	"language=fr; ui=standard; VUFIND_SESSION=614ae75d0f72f080275bf113dcc86291"
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	"216.73.217.142"
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	"46340"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2511_22755/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2511_22755/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790883836.8122
REQUEST_TIME	1790883836

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler