Search Results - Dynamical systems and ergodic theory Arithmetic and non-Archimedean dynamical systems

Kepler sets of second-order linear recurrence sequences over Qp: Kepler sets of second-order linear recurrence sequences over \(Q_p\)

Authors: Rishi Kumar

Source: International Journal of Number Theory. 21:75-112

Subject Terms: linear recurrence sequences, monothetic groups, \(p\)-adic Möbius transformations, \(p\)-adic numbers, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Continuous, \(p\)-adic and abstract analogues, Fibonacci and Lucas numbers and polynomials and generalizations, ratio sets, 0102 computer and information sciences, 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Ergodic theory on groups, 01 natural sciences

File Description: application/xml

Decreasing height along continued fractions

Authors: Giovanni Panti

Source: Ergodic Theory and Dynamical Systems. 40:763-788

Subject Terms: Relations between ergodic theory and number theory, euclidean algorithm, continued fractions, fuchsian groups, Weil height, Mathematics - Number Theory, 11A55, 37P30, Continued fractions, Heights, Symbolic dynamics, commensurability, Dynamical Systems (math.DS), Height functions, Green functions, invariant measures in arithmetic and non-Archimedean dynamical systems, 01 natural sciences, Veech dichotomy, Gauss map, FOS: Mathematics, Number Theory (math.NT), Mathematics - Dynamical Systems, 0101 mathematics

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/1802.09378
http://arxiv.org/abs/1802.09378
https://zbmath.org/7163229
https://doi.org/10.1017/etds.2018.55
https://arxiv.org/pdf/1802.09378.pdf
https://arxiv.org/pdf/1802.09378
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/decreasing-height-along-continued-fractions/A203A3E644D2AE791F19870D0513C051
https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=202002254347882480
http://ui.adsabs.harvard.edu/abs/2018arXiv180209378P/abstract
https://hdl.handle.net/11390/1135495
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/decreasing-height-along-continued-fractions/A203A3E644D2AE791F19870D0513C051
https://doi.org/10.1017/etds.2018.55

Additive and geometric transversality of fractal sets in the integers.

Authors: Glasscock, Daniel Moreira, Joel Richter, Florian K.

Source: Journal of the London Mathematical Society; May2024, Vol. 109 Issue 5, p1-55, 55p

Subject Terms: INTEGERS, CANTOR sets, ERGODIC theory, DYNAMICAL systems, CONTINUOUS bridges, FRACTALS, OPEN-ended questions

Non-Archimedean Ergodic Theory and Pseudorandom Generators

Authors: Vladimir Anashin

Source: The Computer Journal. 53:370-392

Subject Terms: FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Mathematics, 37A25 (Primary) 11K45, 26E30, 94A60 (Secondary), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/pdf/0710.1418
http://arxiv.org/abs/0710.1418
https://dblp.uni-trier.de/db/journals/cj/cj53.html#Anashin10
https://arxiv.org/abs/0710.1418
http://ui.adsabs.harvard.edu/abs/2007arXiv0710.1418A/abstract
https://academic.oup.com/comjnl/article/53/4/370/390535
https://arxiv.org/pdf/0710.1418v1

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby

Authors: Auslander, Joseph Johnson, Aimee Silva, César Ernesto et al.

Resource Type: eBook.

Subjects: Topological spaces--Congresses, Measure theory--Congresses, Ergodic theory--Congresses

Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus

On some dynamical aspects of NIP theories.

Authors: Mofidi, Alireza

Source: Archive for Mathematical Logic; Feb2018, Vol. 57 Issue 1/2, p37-71, 35p

Subject Terms: AUTOMORPHISMS, INVARIANT measures, DYNAMICAL systems, REPRESENTATION theory, MODEL theory, STABILITY theory

The Collatz Conjecture & Non-Archimedean Spectral Theory - Part I - Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory.

Authors: Siegel, Maxwell C.

Source: P-Adic Numbers, Ultrametric Analysis & Applications; Jun2024, Vol. 16 Issue 2, p143-199, 57p

Numeration and discrete dynamical systems.

Authors: Berthé, V.

Source: Computing; Mar2012, Vol. 94 Issue 2-4, p369-387, 19p

Subject Terms: COMPUTER arithmetic, NUMBER systems, INFORMATION technology, ALGORITHMS, MACHINE theory, SIMULATION methods & models, LYAPUNOV exponents

Current trends and open problems in arithmetic dynamics.

Authors: Benedetto, Robert Ingram, Patrick Jones, Rafe et al.

Source: Bulletin (New Series) of the American Mathematical Society; Oct2019, Vol. 56 Issue 4, p611-685, 75p

Subject Terms: DYNAMICAL systems, NUMBER theory, ARITHMETIC, ARITHMETIC functions

On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems.

Authors: Mukhamedov, Farrukh Khakimov, Otabek

Source: Dynamical Systems: An International Journal; Dec2016, Vol. 31 Issue 4, p506-524, 19p

Subject Terms: DYNAMICAL systems, SET theory, STRAINS & stresses (Mechanics), ALGEBRA, MATHEMATICAL mappings

Complex Geometry and Dynamical Systems.

Source: Oberwolfach Reports; 2022, Vol. 19 Issue 3, p2335-2397, 63p

Subject Terms: DYNAMICAL systems, COMPLEX variables, GEOMETRY, MATHEMATICAL physics, COMPLEX geometry

The Dynamical Mordell–Lang Conjecture

Authors: Jason P. Bell Dragos Ghioca Thomas J. Tucker

Resource Type: eBook.

Subjects: Mordell conjecture, Curves, Algebraic, Arithmetical algebraic geometry, Geometry, Algebraic, Number theory--Research exposition (monographs,, Number theory--Arithmetic algebraic geometry (Di, Algebraic geometry--Foundations--Varieties and, Dynamical systems and ergodic theory--Research e, Dynamical systems and ergodic theory--Complex dy

Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Number Theory

Value distribution of derivatives in polynomial dynamics

Authors: Okuyama, Yûsuke Vigny, Gabriel

Contributors: Okuyama, Yûsuke Vigny, Gabriel

Source: Ergodic Theory and Dynamical Systems. 41:3780-3806

Subject Terms: Mathematics - Number Theory, Mathematics - Complex Variables, [MATH] Mathematics [math], Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/pdf/1904.06858
http://arxiv.org/abs/1904.06858
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D931CC4F88E5423E177E27ED363CECCC/S014338572000125Xa.pdf/div-class-title-value-distribution-of-derivatives-in-polynomial-dynamics-div.pdf
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/value-distribution-of-derivatives-in-polynomial-dynamics/D931CC4F88E5423E177E27ED363CECCC

Large Deviations and Effective Equidistribution.

Authors: Khayutin, Ilya

Source: IMRN: International Mathematics Research Notices; May2017, Vol. 2017 Issue 10, p3050-3106, 57p

Subject Terms: LARGE deviation theory, GEOMETRIC rigidity, QUOTIENT rings, ARITHMETIC, DYNAMICAL systems

The Arithmetic of Polynomial Dynamical Pairs.

Authors: Favre, Charles Gauthier, Thomas

Source: Princeton Annals of Mathematics Studies; 2022, Issue 2014, p1-232, 253p

Subject Terms: SUBHARMONIC functions, PRIME factors (Mathematics), TRANSFORMATION groups, DYNAMICAL systems, ALGEBRAIC geometry, RATIONAL points (Geometry), ORBIFOLDS

Non-Archimedean Ergodic Theory and Pseudorandom Generators.

Authors: ANASHIN, VLADIMIR

Source: Computer Journal; May2010, Vol. 53 Issue 4, p370-392, 23p

Subject Terms: COMPUTER software, ARITHMETIC, CONTINUOUS functions, DYNAMICS, ERGODIC theory

On recent results of ergodic property for p-adic dynamical systems.

Authors: Yurova Axelsson, E.

Source: P-Adic Numbers, Ultrametric Analysis & Applications; Jul2014, Vol. 6 Issue 3, p235-257, 23p

Rational maps with bad reduction and domains of quasi-periodicity.

Authors: Moreno Rocha, Monica

Subject Terms: Mathematics, Dynamical systems and ergodic theory, Algebraic geometry, Dynamical systems

Subject Geographic: Oaxaca (Mexico : State)

File Description: 66 minutes; video/mp4

Relation: 17w5081: Workshop on Arithmetic and Complex Dynamics; BIRS Workshop Lecture Videos (Oaxaca (Mexico : State)); BIRS-VIDEO-201711160900-MorenoRocha; BIRS-VIDEO-17w5081-25591; http://hdl.handle.net/2429/65910

Availability: http://hdl.handle.net/2429/65910

Dynamical Systems of Algebraic Origin

Authors: Klaus Schmidt

Resource Type: eBook.

Subjects: Differentiable dynamical systems, Ergodic theory, Automorphisms, Abelian groups

Categories: MATHEMATICS / Group Theory, MATHEMATICS / Algebra / Abstract, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Topology, SCIENCE / System Theory

Topological group actions by group automorphisms and Banach representations.

Authors: Megrelishvili, Michael

Source: Forum Mathematicum; Mar2024, Vol. 36 Issue 2, p327-338, 12p

Subject Terms: TOPOLOGICAL groups, BANACH spaces, AUTOMORPHISMS, COMPACT groups, DYNAMICAL systems, LIE groups