£77.50

Geometric Pressure for Multimodal Maps of the Interval (Memoirs of the American Mathematical Society)

Mathematical Analysis

Price data last checked 58 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 33 days • 33 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 33 days • 1 price levels

Days at Price

Price Analysis

Most common price: £78 (33 days, 100.0%)

Price range: £78 - £78

Price levels: 1 different prices over 33 days

Description

About the Author Feliks Przytycki, Polish Academy of Sciences, Warszawa, Poland.Juan Rivera-Letelier, University of Rochester, NY. Product Description This paper is an interval dynamics counterpart of three theories founded earlier by the authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann sphere: the equivalence of several notions of non-uniform hyperbolicity, Geometric Pressure, and Nice Inducing Schemes methods leading to results in thermodynamical formalism.The authors work in a setting of generalized multimodal maps, that is, smooth maps $f$ of a finite union of compact intervals $\widehat I$ in $\mathbb{R}$ into $\mathbb{R}$ with non-flat critical points, such that on its maximal forward invariant set $K$ the map $f$ is topologically transitive and has positive topological entropy. They prove that several notions of non-uniform hyperbolicity of $f|_K$ are equivalent (including uniform hyperbolicity on periodic orbits, TCE & all periodic orbits in $K$ hyperbolic repelling, Lyapunov hyperbolicity, and exponential shrinking of pull-backs). They prove that several definitions of geometric pressure $P(t)$, that is pressure for the map $f|_K$ and the potential $-t\log |f'|$, give the same value (including pressure on periodic orbits, ``tree'' pressure, variational pressures and conformal pressure). Finally they prove that, provided all periodic orbits in $K$ are hyperbolic repelling, the function $P(t)$ is real analytic for $t$ between the ``condensation'' and ``freezing'' parameters and that for each such $t$ there exists unique equilibrium (and conformal) measure satisfying strong statistical properties.

Product Specifications

Format: Paperback
ASIN: 1470435675
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 June 2019
Listed Since: 23 March 2019

Barcode

No barcode data available

Geometric Pressure for Multimodal Maps of the Interval (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical ... and Automation: Science and Engineering, 31)

Ergodic Theory of Equivariant Diffeomorphisms: Markov Partitions and Stable Ergodicity (Memoirs of the American Mathematical Society)

A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the large Gap Problem: Heuristics and Rigorous Verification on a Model (Memoirs of the American Mathematical Society)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Functional Inequalities: New Perspectives and New Applications (Mathematical Surveys and Monographs)

New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in $mathbb {R}^n$ (Memoirs of the American Mathematical Society)

De Gruyter Finer Thermodynamic Formalism Mathematics Book

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics

Polyfold and Fredholm Theory: 72 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 72)

Higher-Order Time Asymptotics of Fast Diffusion in Euclidean Space: A Dynamical Systems Approach (Memoirs of the American Mathematical Society)

Geometric Optics for Surface Waves in Nonlinear Elasticity (Memoirs of the American Mathematical Society)

Julia Sets and Complex Singularities of Free Energies (Memoirs of the American Mathematical Society)

Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees: Applications to Non-Archimedean Diophantine Approximation: 329 (Progress in Mathematics, 329)

Local Entropy Theory of a Random Dynamical System (Memoirs of the American Mathematical Society)

Rational Iteration: Complex Analytic Dynamical Systems: 16 (De Gruyter Studies in Mathematics, 16)

Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow

Flat Rank Two Vector Bundles on Genus Two Curves (Memoirs of the American Mathematical Society)

Normally Hyperbolic Invariant Manifolds in Dynamical Systems: 105 (Applied Mathematical Sciences, 105)

New Advances on Chaotic Intermittency and its Applications

Elsevier Fractal Dimensions for Poincare Recurrences Vol 2

Continuum Theory & Dynamical Systems (Lecture Notes in Pure and Applied Mathematics)

Moduli in Modern Mapping Theory (Springer Monographs in Mathematics)

Topology of Closed One-Forms (Mathematical Surveys and Monographs)