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2
Academic Journal
Meromorphic solutions of linear q-difference equations

Authors: Lastra, Alberto, Remy, Pascal

Contributors: Universidad de Alcalá - University of Alcalá (UAH), Laboratoire de Mathématiques de Versailles (LMV), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), The first author is partially supported by the project PID2019-105621GB-I00 of Ministerio de Cienciae Innovación, Spain. The first author is also partially supported by Dirección General de Investigación eInnovación, Consejería de Educación e Investigación of Comunidad de Madrid (Spain) and Universidad deAlcalá under grant CM/JIN/2021-014, Proyectos de I+D para Jóvenes Investigadores de la Universidad deAlcalá 2021. The first author is also supported by Ministerio de Ciencia e Innovación-Agencia Estatal deInvestigación MCIN/AEI/10.13039/501100011033 and the European Union “NextGenerationEU”/ PRTR,under grant TED2021-129813A-I00.

Superior Title: ISSN: 0022-247X.

Subject Terms: q-difference equations, Meromorphic solutions, Zeros, Poles, [MATH]Mathematics [math]

Relation: hal-04439838; https://hal.uvsq.fr/hal-04439838; https://hal.uvsq.fr/hal-04439838/document; https://hal.uvsq.fr/hal-04439838/file/1-s2.0-S0022247X23009423-main.pdf

Availability: https://doi.org/10.1016/j.jmaa.2023.127939
https://hal.uvsq.fr/hal-04439838
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4
Conference
On Input-to-State Stability of Linear Difference Equations and Its Characterization with a Lyapunov Functional

Authors: Auriol, Jean, Bresch-Pietri, Delphine

Contributors: Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre Automatique et Systèmes (CAS), Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)

Superior Title: IFAC World Congress 2023 ; https://hal.science/hal-04051122 ; IFAC World Congress 2023, Jul 2023, Yokohama, Japan ; https://www.ifac2023.org/

Subject Terms: Delay systems, Difference Equations, Input-to-State Stability, Lyapunov Theorem, Distributed Parameter Systems, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

Subject Geographic: Yokohama, Japan

Relation: hal-04051122; https://hal.science/hal-04051122; https://hal.science/hal-04051122/document; https://hal.science/hal-04051122/file/On%20ISS%20of%20LDEs.pdf

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6
Academic Journal
Discrete and continuous models of linear elasticity: history and connections

Authors: Challamel, Noël, Zhang, Y, Wang, C, Ruta, Giuseppe, Dell'Isola, Francesco

Contributors: Institut de Recherche Dupuy de Lôme (IRDL), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Centre National de la Recherche Scientifique (CNRS), University of Queensland Brisbane, Dipartimento di Ingegneria Strutturale e Geotecnica Rome, Università degli Studi di Roma "La Sapienza" = Sapienza University Rome (UNIROMA), University of L'Aquila Italy (UNIVAQ), International Research Centre on Mathematics & Mechanics of Complex Systems (M&MoCS), Università degli Studi dell'Aquila = University of L'Aquila (UNIVAQ)

Superior Title: ISSN: 0935-1175.

Subject Terms: Lattice/discrete elasticity, Continuum elasticity, Elastodynamics, Discrete elasticity, Difference equations, Partial differential equations, Microstructured solids, Constrained kinematics, Metamaterials, [PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]

Relation: hal-03954266; https://hal.science/hal-03954266; https://hal.science/hal-03954266/document; https://hal.science/hal-03954266/file/1-s2.pdf

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7
Academic Journal
High order multiscale analysis of discrete integrable equations

Authors: Hernandez Heredero, Rafael, Levi, Decio, Scimiterna, Christian

Contributors: Universidad Politécnica de Madrid (UPM), Università degli Studi Roma Tre = Roma Tre University (ROMA TRE), Istituto di Istruzione Superiore Sansi-Leonardi-Volta, Spoleto, Projects PID2019-106802GB-I00 and PID2021-124473NB-I00 from the Ministry of Science and Innovation of Spain

Superior Title: ISSN: 2802-9356 ; Open Communications in Nonlinear Mathematical Physics ; https://hal.science/hal-04173064 ; Open Communications in Nonlinear Mathematical Physics, In press.

Subject Terms: Multiple Scale, Integrable Difference Equations, PACS: 02.30.Ks, 02.30.Ik, 02.30.MvMSC 4E13, 37K10, 39A14, 93B18, [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]

Relation: hal-04173064; https://hal.science/hal-04173064; https://hal.science/hal-04173064/document; https://hal.science/hal-04173064/file/Heredero_Levi_Scimiterna_Mtest_23f.pdf

Availability: https://hal.science/hal-04173064
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8
Academic Journal
Discrete maturity and delay differential-difference model of hematopoietic cell dynamics with applications to acute myelogenous leukemia

Authors: Adimy, Mostafa, Chekroun, Abdennasser, El Abdllaoui, Abderrahim, Marzorati, Arsène

Contributors: Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Modélisation multi-échelle des dynamiques cellulaires : application à l'hématopoïese (DRACULA), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-Inria Lyon, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Modélisation mathématique, calcul scientifique (MMCS), Laboratoire d'Analyse Non Linéaire & Mathématiques Appliquées Tlemcen, Université Aboubekr Belkaid - University of Belkaïd Abou Bekr Tlemcen

Superior Title: ISSN: 0218-3390.

Subject Terms: Age-structured PDE Delay differential-difference equation Lyapunov function Cell population dynamic Acute myelogenous leukemia, Age-structured PDE, Delay differential-difference equation, Lyapunov function, Cell population dynamic, Acute myelogenous leukemia, [MATH]Mathematics [math]

Relation: hal-03918042; https://inria.hal.science/hal-03918042; https://inria.hal.science/hal-03918042/document; https://inria.hal.science/hal-03918042/file/Manuscript.pdf

Availability: https://doi.org/10.1142/S0218339022500176
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9
Academic Journal
Rate of escape of conditioned Brownian motion

Authors: Collin, Orphée, Comets, Francis

Contributors: Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Probabilités, Statistique et Modélisation (LPSM (UMR_8001)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)

Superior Title: ISSN: 1083-6489 ; Electronic Journal of Probability ; https://hal.science/hal-03146283 ; Electronic Journal of Probability, 2022, 27, ⟨10.1214/21-ejp737⟩.

Subject Terms: upper-class and lower-class, regeneration, Wiener moustache, transience, conditioning, Bessel process, Brownian motion, random difference equation, random difference equation AMS 2020 subject classifications: 60K35, 60J60, 60J65, 60G17, AMS 2010: 60K35, [MATH]Mathematics [math]

Relation: hal-03146283; https://hal.science/hal-03146283; https://hal.science/hal-03146283v3/document; https://hal.science/hal-03146283v3/file/escape_25o21.pdf

Availability: https://doi.org/10.1214/21-ejp737
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10
Report
Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems

Authors: Chitour, Yacine, Fueyo, Sébastien, Mazanti, Guilherme, Sigalotti, Mario

Contributors: Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Tel Aviv University (TAU), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Control And GEometry (CaGE ), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Sorbonne Université (SU), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Le travail a bénéficié d'une aide de l'Etat au titre de France 2030 portant la référence ANR-11-IDEX-0003 H-Code, ANR-11-IDEX-0003,IPS,Idex Paris-Saclay(2011)

Superior Title: https://inria.hal.science/hal-04228797 ; 2023.

Subject Terms: Linear one-dimensional hyperbolic systems, Boundary controls, Linear difference equations, Approximate controllability, Exact controllability, Flows in networks, Realization theory, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

Relation: hal-04228797; https://inria.hal.science/hal-04228797; https://inria.hal.science/hal-04228797v3/document; https://inria.hal.science/hal-04228797v3/file/Controllability_hyperbolic_system_preprint-v2.pdf

Availability: https://inria.hal.science/hal-04228797
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11
Report
ON A NON-HOMOGENEOUS PANTOGRAPH FUNCTIONAL DIFFERENTIAL EQUATION

Authors: Dai, Huan

Contributors: Harbin Institute of Technology (HIT), Université de Lille, This work is partly supported by the Shenzhen Science and Technology Program (Basic Research Project, No. JCYJ20210324133003011), the National Natural Science Foundation of China (No. 12171491), and the Labex CEMPI (ANR-11-LABX-0007).

Superior Title: https://hal.science/hal-04232886 ; 2023.

Subject Terms: differential q-difference equation, Laplace transform, Jacobi theta function, connection formula, asymptotic behavior, MSC Classification: 33E30, 30E15, [MATH]Mathematics [math]

Relation: hal-04232886; https://hal.science/hal-04232886; https://hal.science/hal-04232886v2/document; https://hal.science/hal-04232886v2/file/DAI-JGA.pdf

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https://hal.science/hal-04232886v2/document
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12
Report
Prescribing transport equation solution's decay via multiplicity manifold and autoregressive boundary control

Authors: Ammari, Kaïs, Boussaada, Islam, Niculescu, Silviu-Iulian, Tliba, Sami

Contributors: Université de Monastir - University of Monastir (UM), Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Institut Polytechnique des Sciences Avancées (IPSA), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)

Superior Title: https://centralesupelec.hal.science/hal-04200203 ; 2023.

Subject Terms: Transport equation, Difference equation, Interfering delays, Spectral abscissa, Stability and stabilization, [MATH]Mathematics [math], [SPI]Engineering Sciences [physics]

Relation: hal-04200203; https://centralesupelec.hal.science/hal-04200203; https://centralesupelec.hal.science/hal-04200203/document; https://centralesupelec.hal.science/hal-04200203/file/TRANSPORT-2023-ABNT.pdf

Availability: https://centralesupelec.hal.science/hal-04200203
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https://centralesupelec.hal.science/hal-04200203/file/TRANSPORT-2023-ABNT.pdf


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13
Report
Difference equations and Omega functions

Authors: Pérez-Marco, Ricardo

Contributors: Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Université Paris Cité (UPCité)

Superior Title: https://hal.science/hal-03940199 ; 2023.

Subject Terms: Euler Gamma function, exponential periods, Omega functions, difference equation, MSC 30D10, 39A05,30D15, 30B50, [MATH]Mathematics [math]

Relation: hal-03940199; https://hal.science/hal-03940199; https://hal.science/hal-03940199/document; https://hal.science/hal-03940199/file/OmegaFunctions10.pdf

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14
Report
ON A NON-HOMOGENEOUS PANTOGRAPH FUNCTIONAL DIFFERENTIAL EQUATION

Authors: Chen, Guoting, Dai, Huan, Zhang, Changgui

Contributors: Harbin Institute of Technology (HIT), Université de Lille, This work is partly supported by the Shenzhen Science and Technology Program (Basic Research Project, No. JCYJ20210324133003011), the National Natural Science Foundation of China (No. 12171491), and the Labex CEMPI (ANR-11-LABX-0007).

Superior Title: https://hal.science/hal-04232886 ; 2023.

Subject Terms: differential q-difference equation, Laplace transform, Jacobi theta function, connection formula, asymptotic behavior, MSC Classification: 33E30, 30E15, [MATH]Mathematics [math]

Relation: hal-04232886; https://hal.science/hal-04232886; https://hal.science/hal-04232886/document; https://hal.science/hal-04232886/file/AIF-CDZ.pdf

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15
Academic Journal
Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase

Authors: Adimy, Mostafa, Chekroun, Abdennasser, Kuniya, Toshikazu

Contributors: Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Modélisation mathématique, calcul scientifique (MMCS), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Modélisation multi-échelle des dynamiques cellulaires : application à l'hématopoïese (DRACULA), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-Inria Lyon, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Université Aboubekr Belkaid - University of Belkaïd Abou Bekr Tlemcen, Konan University Kobe, Japan

Superior Title: ISSN: 0022-247X.

Subject Terms: 35K57, 35Q92, 92D30, Age-space-structured PDF, Reaction-diffusion system with nonlocal term, Continuous difference equation, Traveling wave solution, SIR epidemic model. 2010 MSC: 35C07, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

Relation: hal-03518604; https://inria.hal.science/hal-03518604; https://inria.hal.science/hal-03518604/document; https://inria.hal.science/hal-03518604/file/AdimyChekrounKuniyaJMAA2021.pdf

Availability: https://doi.org/10.1016/j.jmaa.2021.125464
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https://inria.hal.science/hal-03518604/file/AdimyChekrounKuniyaJMAA2021.pdf

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17
Conference
Variable-Length Coding for Zero-Error Channel Capacity

Authors: Charpenay, Nicolas, Le Treust, Mael

Contributors: Analysis representation, compression and communication of visual data (Sirocco), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT), Equipes Traitement de l'Information et Systèmes (ETIS - UMR 8051), Ecole Nationale Supérieure de l'Electronique et de ses Applications (ENSEA)-Centre National de la Recherche Scientifique (CNRS)-CY Cergy Paris Université (CY)

Superior Title: ISIT 2020 - IEEE International Symposium on Information Theory ; https://hal.science/hal-03334091 ; ISIT 2020 - IEEE International Symposium on Information Theory, Jun 2020, Los Angeles, United States. pp.1-29

Subject Terms: Zero-Error Information Theory, Channel Coding, Analytic Combinatorics, Graph Theory, Combinatorics on Words, Linear Difference Equation, Automata, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-GT]Computer Science [cs]/Computer Science and Game Theory [cs.GT], [SHS.INFO]Humanities and Social Sciences/Library and information sciences

Subject Geographic: Los Angeles, United States

Relation: hal-03334091; https://hal.science/hal-03334091; https://hal.science/hal-03334091/document; https://hal.science/hal-03334091/file/2001.03523%281%29.pdf

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19
Report
A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters

Authors: Del Moral, Pierre, Horton, Emma

Contributors: Méthodes avancées d’apprentissage statistique et de contrôle (ASTRAL), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Naval Group

Superior Title: https://hal.inria.fr/hal-03277374 ; 2021.

Subject Terms: Uniform estimates with respect to the time horizon, Feynman-Kac formulae, Non-central χ-square, Rational difference equations, Stochastic Riccati difference equation, Ensemble Kalman Filter, Exponential stability, Stochastic perturbation theorems, Mathematics Subject Classification : Primary: 60G35, 60K35, 65C35, 60F05, Secondary: 60J10, 39A30, 65L07, 93D23, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]

Relation: hal-03277374; https://hal.inria.fr/hal-03277374; https://hal.inria.fr/hal-03277374/document; https://hal.inria.fr/hal-03277374/file/discrete-EnKF-1d-v7.pdf

Availability: https://hal.inria.fr/hal-03277374
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20
Report
Rate of escape of conditioned Brownian motion

Authors: Collin, Orphée, Comets, Francis

Contributors: Département de Mathématiques et Applications - ENS Paris (DMA), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Laboratoire de Probabilités, Statistiques et Modélisations (LPSM (UMR_8001)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)

Superior Title: https://hal.archives-ouvertes.fr/hal-03146283 ; 2021.

Subject Terms: upper-class and lower-class, regeneration, Wiener moustache, transience, conditioning, Bessel process, Brownian motion, random difference equation, random difference equation AMS 2020 subject classifications: 60K35, 60J60, 60J65, 60G17, AMS 2010: 60K35, [MATH]Mathematics [math]

Relation: hal-03146283; https://hal.archives-ouvertes.fr/hal-03146283; https://hal.archives-ouvertes.fr/hal-03146283v3/document; https://hal.archives-ouvertes.fr/hal-03146283v3/file/escape_25o21.pdf

Availability: https://hal.archives-ouvertes.fr/hal-03146283
https://hal.archives-ouvertes.fr/hal-03146283v3/document
https://hal.archives-ouvertes.fr/hal-03146283v3/file/escape_25o21.pdf


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