Resonances and Zeta Functions in Smooth Ergodic Theory and Geometry

Información del proyecto

Resonances

Identificador del acuerdo de subvención: 833802

DOI

10.3030/833802

Proyecto cerrado

Fecha de la firma de la CE 10 Mayo 2019

Fecha de inicio 1 Septiembre 2019

Fecha de finalización 28 Febrero 2025

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 904 305,00

Aportación de la UE

€ 1 904 305,00

Coordinado por

UNIVERSITY OF WARWICK
United Kingdom

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Resultado final

Open Research Data Pilot (1)

Data Management Plan

The green open access platform WRAP of Warwick makes available the papers accepted for publication in the final (non published) form Moreover, all of the papers of the PI will be posted to the green access platform arXiv

Publicaciones

Peer reviewed articles (16)

The Schottky–Klein prime function and counting functions for Fenchel double crosses

Autores: Mark Pollicott
Publicado en: Monatsh. Math, Edición 195, 2021, Página(s) 323–342, ISSN 1436-5081
Editor: Springer-Verlag
DOI: 10.1007/s00605-021-01547-3

An elementary proof that the Rauzy gasket is fractal

Autores: Mark Pollicott, Benedict Sewell
Publicado en: Communications in Mathematical Physics, Edición 1, 2023, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2023.66

How Many Inflections are There in the Lyapunov Spectrum

Autores: Oliver Jenkinson; Mark Pollicott; Polina Vytnova
Publicado en: Comm. Math. Phys., Edición 386, 2021, Página(s) 1383–1411, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04161-4

Extreme events for horocycle flows

Autores: Jens Marklof, Mark Pollicott
Publicado en: Nonlinearity, Edición 38, 2025, Página(s) 055003, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/adc8f0

Accurate bounds on Lyapunov exponents for expanding maps of the interval

Autores: Mark Pollicott, Polina Vytnova
Publicado en: Communications in Mathematical Physics, Edición 3, 2022, ISSN 0010-3616
Editor: Springer Verlag

Effective estimates of Lyapunov exponents for random products of positive matrices

Autores: Mark Pollicott
Publicado en: Nonlinearity, Edición 34, 2021, Página(s) 6705–6718, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac15ac

Comparison theorems for closed geodesics on negatively curved surfaces

Autores: Cantrell, Stephen; Pollicott, Mark
Publicado en: Groups Geom. Dyn., Edición 1, 2020, ISSN 1661-7207
Editor: European Mathematical Society Publishing House

Rapid mixing for compact group extensions of hyperbolic flows

Autores: Mark Pollicott, Daofei Zhang
Publicado en: Transactions of the American Mathematical Society, 2025, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/9424

Zeta functions in higher Teichmuller theory

Autores: Mark Pollicott, Richard Sharp
Publicado en: Mathematische Zeitschrift, Edición 1, 2024, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-024-03437-4

Uniform lower bounds on the dimension of Bernoulli convolutions

Autores: Victor Kleptsyn; Mark Pollicott; Polina Vytnova
Publicado en: Advances in Mathematics, Edición 395, 2022, Página(s) 55, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2021.108090

Maximizing dimension for Bernoulli measures and the Gauss map

Autores: Mark Pollicott
Publicado en: Proceedings of the American Mathematical Society, 2025, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/15310

Zeta functions in higher Teichmüller theory

Autores: Mark Pollicott, Richard Sharp
Publicado en: Mathematische Zeitschrift, Edición 306, 2024, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-024-03437-4

An infinite interval version of the alpha-Kakutani equidistribution problem

Autores: Mark Pollicott, Ben Sewell
Publicado en: Israel Journal of Mathematics, 2022, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.48550/arxiv.2103.10235

Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map

Autores: Mark Pollicott, Julia Slipantschuk
Publicado en: Nonlinearity, Edición 37, 2024, Página(s) 095013, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad6053

Rigidity of pressures of Hölder potentials and the fitting of analytic functions through them

Autores: LIANGANG MA; MARK POLLICOTT
Publicado en: Crossref, Edición 1, 2024, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2024.9

An infinite interval version of the {\alpha}-Kakutani equidistribution problem

Autores: Pollicott, Mark; Sewell, Benedict
Publicado en: Israel Journal of Mathematics, Edición 1, 2023, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-023-2569-6

Book chapters (5)

Statistical properties of the Rauzy-Veech-Zorich map

Autores: Roman Aimino, Mark Pollicott
Publicado en: Thermodynamic Formalism, Lecture Notes in Mathematics, Edición 2290, 2021, Página(s) 317-349
Editor: Springer Verlage
DOI: 10.1007/978-3-030-74863-0_10

A dynamical approach to validated numerics

Autores: Jenkinson, Oliver; Pollicott, Mark
Publicado en: )A vision for dynamics in the 21st century—the legacy of Anatole Katok, 2024, Página(s) 168–206, ISBN 978-1-009-27890-4
Editor: Cambridge University Press

A dynamical approach to validated numerics

Autores: Oliver Jenkinson, Mark Pollicott
Publicado en: Edición 4, 2024
Editor: Cambridge University Press

Groups, drift and harmonic measures

Autores: Mark Pollicott, Polina Vytnova
Publicado en: 2022
Editor: Springer
DOI: 10.48550/arxiv.2204.08197

Higher Teichmüller theory for surface groups and shifts of finite type

Autores: Mark Pollicott, Richard Sharp
Publicado en: Thermodynamic formalism, Lecture Notes in Mathematics, Edición 2290, 2021, Página(s) 395-418
Editor: Springer Verlag
DOI: 10.1007/978-3-030-74863-0_12

Other (23)

An elementary proof that the Rauzy gasket is fractal

Autores: Mark Pollicott, Benedict Sewell
Publicado en: 2022
Editor: ArXiv

An upper bound on the dimension of the Rauzy gasket

Autores: Mark Pollicott, Ben Sewell
Publicado en: 2022
Editor: ArXiv

Maximizing dimension for Bernoulli measures and the Gauss map

Autores: Mark Pollicott, Ben Sewell
Publicado en: Proceedings of the American Mathematical Society, 2023
Editor: American Mathematical Society
DOI: 10.48550/arxiv.2204.07794

An ergodic approach towards an equidistribution result of Ferrero--Washington

Autores: Lee, Jungwon; Palvannan, Bharathwaj
Publicado en: Edición 3, 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2207.09620

Anosov Flows and Dynamical Zeta Functions (Errata)

Autores: Paolo Giulietti, Carlangelo Liverani, Mark Pollicott
Publicado en: 2022
Editor: ArXiv

Minimizing entropy for translation surfaces

Autores: Paul Colognese, Mark Pollicott
Publicado en: 2022
Editor: ArXiv

Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra

Autores: Matheus, Carlos; Moreira, Carlos Gustavo; Pollicott, Mark; Vytnova, Polina
Publicado en: Edición 1, 2020
Editor: ArXiv
DOI: 10.48550/arxiv.2106.06572

Zeta functions in higher Teichmuller theory

Autores: Pollicott,Mark, Sharp, Richard
Publicado en: 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2203.15741

Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map

Autores: Pollicott, Mark; Slipantschuk, Julia
Publicado en: Edición 1, 2023, ISSN 1661-7207
Editor: ArXiv
DOI: 10.48550/arxiv.2308.04293

Euclidean algorithms are Gaussian over imaginary quadratic fields

Autores: Kim, Dohyeong; Lee, Jungwon; Lim, Seonhee
Publicado en: Edición 3, 2024
Editor: ArXiv
DOI: 10.48550/arxiv.2401.00734

Explicit examples of resonances for Anosov maps of the torus

Autores: Mark Pollicott and Benedict Sewell
Publicado en: 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2204.01511

Comparison theorems for closed geodesics on negatively curved surfaces

Autores: Cantrell, Stephen; Pollicott, Mark
Publicado en: Edición 1, 2020
Editor: ArXiv

Rigidity of pressures of Hölder potentials and the fitting of analytic functions via them

Autores: Ma, Liangang; Pollicott, Mark
Publicado en: Rigidity of pressures of Hölder potentials and the fitting of analytic functions via them, Edición 1, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2210.16794

Sierpiński Fractals and the Dimension of Their Laplacian Spectrum

Autores: Mark Pollicott; Julia Slipantschuk
Publicado en: Mathematical and Computational Applications, Vol 28, Iss 3, p 70 (2023), Edición 1, 2023
Editor: ArXiv
DOI: 10.3390/mca28030070

Constructing equilibrium states for some partially hyperbolic attractors via densities

Autores: Parmenter, David; Pollicott, Mark
Publicado en: Edición 3, 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2210.10701

Continuous eigenfunctions of the transfer operator for the Dyson model

Autores: Johansson, Anders; Öberg, Anders; Pollicott, Mark
Publicado en: Edición 3, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2304.04202

The growth and distribution of large circles on translation surfaces

Autores: Paul Colognese, Mark Pollicott
Publicado en: Edición 3, 2021
Editor: ArXiv

"Sierpiński Fractals and the Dimension of Their Laplacian Spectrum"

Autores: Slipantschuk, Mark Pollicott; Julia
Publicado en: Mathematical and Computational Applications; Volume 28; Edición 3; Pages: 70, Edición 3, 2023
Editor: ArXiv

A dynamical approach to validated numerics

Autores: Oliver Jenkinson, Mark Pollicott
Publicado en: 2022
Editor: ArXiv

The growth and distribution of large circles on translation surfaces

Autores: Paul Colognese, Mark Pollicott
Publicado en: 2022
Editor: ArXiv

EDMD for expanding circle maps and their complex perturbations

Autores: Bandtlow, Oscar F.; Just, Wolfram; Slipantschuk, Julia
Publicado en: Edición 1, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2308.01467

Complex Continued Fractions and Extremal Theory

Autores: Baumgartner, Alexander; Pollicott, Mark
Publicado en: Edición 1, 2024
Editor: ArXiv
DOI: 10.48550/arxiv.2401.00626

Resonances for rational Anosov maps on the torus

Autores: Slipantschuk, Julia; Bandtlow, Oscar F.; Just, Wolfram
Publicado en: Edición 3, 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2211.05925

Non-peer reviewed articles (7)

An upper bound on the dimension of the Rauzy gasket

Autores: Mark Pollicott, Ben Sewell
Publicado en: Bull. Soc. Math. France, Edición 3, 2023, ISSN 0037-9484
Editor: Societe Mathematique de France

Fourier multipliers and transfer operators

Autores: Mark Pollicott
Publicado en: J. Fractal Geom, Edición 8, 2021, Página(s) 189–199, ISSN 2308-1309
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jfg/103

Gibbs measures for hyperbolic attractors defined by densities

Autores: David Parmenter, Mark Pollicott
Publicado en: Discrete and Continuous Dynamical Systems, 2022, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2022038

Accurate bounds on Lyapunov exponents for expanding maps of the interval

Autores: Mark Pollicott, Polina Vytnova
Publicado en: Communications in Mathematical Physics, Edición 4, 2023, Página(s) 485–502, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.48550/arxiv.2201.04752

Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets

Autores: Mark Pollicott, Polina Vytnova
Publicado en: Transactions of the American Mathematical Society, 2022, ISSN 0002-9947
Editor: American Mathematical Society

Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups

Autores: M. Pollicott, P. Vytnova
Publicado en: Transactions of the American Mathematical Society, Series B, Edición 9, 2023, Página(s) 1102-1159, ISSN 2330-0000
Editor: American Mathematical Society (AMS)
DOI: 10.1090/btran/109

Minimizing entropy for translation surfaces

Autores: Paul Colognese, Mark Pollicott
Publicado en: Conformual Geomety and Dynamics, Edición 3, 2022, ISSN 1088-4173
Editor: American Mathematical Society