Benjamin Weiss | Academic Influence

Benjamin Weiss's AcademicInfluence.com Rankings

Benjamin Weiss

Mathematics

#353

World Rank

#734

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Group Theory

#56

World Rank

#70

Historical Rank

Algebra

#129

World Rank

#207

Historical Rank

Measure Theory

#994

World Rank

#1288

Historical Rank

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Mathematics

Benjamin Weiss's Degrees

PhD Mathematics Tel Aviv University
Masters Mathematics Tel Aviv University
Bachelors Mathematics Tel Aviv University

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Why Is Benjamin Weiss Influential?

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According to Wikipedia, Benjamin Weiss is an American-Israeli mathematician known for his contributions to ergodic theory, topological dynamics, probability theory, game theory, and descriptive set theory. Biography Benjamin Weiss was born in New York City. In 1962 he received B.A. from Yeshiva University and M.A. from the Graduate School of Science, Yeshiva University. In 1965, he received his Ph.D. from Princeton under the supervision of William Feller.

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Benjamin Weiss's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Entropy and isomorphism theorems for actions of amenable groups (1987) (564)
An amenable equivalence relation is generated by a single transformation (1981) (532)
Ergodic theory of amenable group actions. I: The Rohlin lemma (1980) (344)
Sensitive dependence on initial conditions (1993) (333)
Mean topological dimension (2000) (299)
Subshifts of finite type and sofic systems (1973) (298)
Entropy and data compression schemes (1993) (282)
Groups of measure preserving transformations (1973) (252)
SIMILARITY OF AUTOMORPHISMS OF THE TORUS (1970) (251)
An Occupancy Discipline and Applications (1966) (238)
SOFIC GROUPS AND DYNAMICAL SYSTEMS (2000) (188)
Topological dynamics and combinatorial number theory (1978) (178)
Entropy, a complete metric invariant for automorphisms of the torus. (1967) (156)
Equivalence of measure preserving transformations (1982) (148)
Single Orbit Dynamics (1999) (138)
Property T and asymptotically invariant sequences (1980) (135)
Equivalence of topological Markov shifts (1977) (124)
How Sampling Reveals a Process (1990) (123)
WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS (1995) (122)
Commuting measure-preserving transformations (1972) (121)
Geodesic flows are Bernoullian (1973) (111)
Ergodic Theory and Configurations in Sets of Positive Density (1990) (109)
The Shannon-McMillan-Breiman theorem for a class of amenable groups (1983) (108)
Chapter 10 – On the Interplay between Measurable and Topological Dynamics (2004) (104)
Groups and Expanders (1992) (98)
Statistical properties of chaotic systems (1991) (97)
A simple proof of some ergodic theorems (1982) (96)
The finite multipliers of infinite ergodic transformations (1978) (89)
Quasi-factors of zero-entropy systems (1995) (87)
On the Bernoulli nature of systems with some hyperbolic structure (1998) (83)
An anti-classification theorem for ergodic measure preserving transformations (2004) (82)
Minimal actions of the group $ {\Bbb S(Z)} $ of permutations of the integers (2002) (80)
Entropy and mixing for amenable group actions. (2000) (78)
Mixing properties of Markov operators and ergodic transformations, and ergodicity of cartesian products (1979) (76)
Kazhdan's Property T and the Geometry of the Collection of Invariant Measures (1997) (74)
Entropy theory without a past (2000) (69)
The conjugacy problem in ergodic theory (2011) (68)
Strictly ergodic models for dynamical systems (1985) (68)
Strong laws for L- and U-statistics (1996) (65)
Bernoulli actions are weakly contained in any free action (2011) (64)
THE UNIVERSAL MINIMAL SYSTEM FOR THE GROUP OF HOMEOMORPHISMS OF THE CANTOR SET (2003) (63)
Cutting and stacking, interval exchanges and geometric models (1985) (61)
The ergodic infinite measure preserving transformation of boole (1973) (59)
Intrinsically ergodic systems (1970) (56)
The automorphism group of the Gaussian measure cannot act pointwise (2003) (56)
Generically there is but one self homeomorphism of the Cantor set (2006) (56)
A SIMPLE PROOF OF (1982) (54)
The isomorphism problem in ergodic theory (1972) (49)
Uniformly recurrent subgroups (2014) (49)
The topological Rohlin property and topological entropy (2001) (48)
The Multifarious Poincaré Recurrence Theorem (2000) (48)
LOCALLY EQUICONTINUOUS DYNAMICAL SYSTEMS (2000) (47)
Finitely determined implies very weak Bernoulli (1974) (47)
Piecewise-Bohr Sets of Integers and Combinatorial Number Theory (2006) (42)
Topics in Dynamics and Ergodic Theory: Actions of amenable groups (2003) (41)
When All Points are Recurrent/Generic (1981) (39)
On recurrence in zero dimensional flows (2007) (37)
On invariant measures for B-free systems (2014) (36)
The classification of non-singular actions, revisited (1991) (35)
Strictly ergodic, uniform positive entropy models (1994) (35)
Weak mixing properties for non-singular actions (2013) (34)
Every Countable Group has the Weak Rohlin Property (2006) (34)
Every transformation is bilaterally deterministic (1975) (34)
Markov Processes and Ramsey Theory for Trees (2003) (33)
Topological groups with Rokhlin properties (2008) (33)
When are random graphs connected (1988) (32)
Multiple recurrence and doubly minimal systems (1998) (31)
On almost 1-1 extensions (1989) (31)
Normal numbers and selection rules (1975) (31)
A dimension gap for continued fractions with independent digits (2001) (30)
Topological transitivity and ergodic measures (1971) (28)
Entropy and recurrence rates for stationary random fields (1994) (28)
Order estimation of Markov chains (2005) (28)
On classifying processes (2005) (28)
The construction of quasi-invariant measures (1972) (27)
Remarks on the tightness of cocycles (2000) (24)
On convex power series of a conservative Markov operator (1973) (24)
Prediction for discrete time series (2005) (23)
Descriptive Set Theory and Dynamical Systems: A Descriptive View of Ergodic Theory (2000) (22)
Forecasting for Stationary Binary Time Series (2003) (22)
Ergodic Theory and its Connections with Harmonic Analysis: Topological entropy of extensions (1995) (21)
Forward estimation for ergodic time series (2005) (21)
Fluctuations of ergodic averages (1999) (21)
Measurable recurrence and quasi-invariant measures (1982) (20)
Evolutionarily Stable Strategies of Random Games, and the Vertices of Random Polygons (2008) (20)
Subsequence ergodic theorems for amenable groups (1992) (19)
On estimating the memory for finitarily Markovian processes (2007) (19)
Entropy is the Only Finitely Observable Invariant (2006) (19)
A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x) (1996) (17)
Descriptive set theory and dynamical systems (2000) (17)
Finitarily deterministic generators for zero entropy systems (1992) (16)
A note on time-sharing (1968) (16)
Processes disjoint from weak mixing (1989) (16)
Estimating the Lengths of Memory Words (2008) (15)
Generating partitions for random transformations (2002) (15)
On invariant measures for ℬ‐free systems (2014) (15)
Entropy and actions of sofic groups (2015) (15)
Simultaneous diophantine approximation and IP-sets (1988) (15)
Limitations on intermittent forecasting (2005) (15)
On the conjugacy relation in ergodic theory (2006) (14)
BOREL AUTOMORPHISMS WITH NO FINITE INVARIANT MEASURE (1998) (14)
Normal sequences for markov shifts and intrinsically ergodic subshifts (1987) (14)
Entropy theorems along times when $x$ visits a set (2004) (14)
Inferring the conditional mean (2007) (13)
On Sequential Estimation and Prediction for Discrete Time Series (2007) (13)
Intermittent estimation of stationary time series (2004) (13)
A symbolic representation for Anosov–Katok systems (2015) (13)
Minimal transformations with no common factor need not be disjoint (1983) (13)
Bernoulli disjointness (2019) (12)
Interpolation sets for subalgebras ofl∞(Z) (1983) (12)
Perfect filtering and double disjointness (1995) (12)
Measure preserving diffeomorphisms of the torus are unclassifiable (2017) (12)
Quasifactors of ergodic systems with positive entropy (2003) (12)
Probabilistic Galois Theory over $P$-adic Fields (2013) (12)
Relative Discrete Spectrum and Joinings (2002) (12)
LIMIT LAWS FOR ERGODIC PROCESSES (2012) (12)
An ε-free Rohlin lemma (1982) (11)
A SIMPLE WEAKLY MIXING TRANSFORMATION WITH NONUNIQUE PRIME FACTORS (1994) (11)
From odometers to circular systems: A global structure theorem (2017) (11)
Abstract Vibrating Systems (1967) (11)
Hereditary subshifts whose simplex of invariant measures is Poulsen (2015) (11)
On universal estimates for binary renewal processes (2008) (11)
Decay and growth for a nonlinear parabolic difference equation (2005) (10)
TOPOLOGICAL GROUPS WITH ROHLIN PROPERTIES (2008) (10)
Spectra of stationary processes on Z (2017) (10)
A universal hypercyclic representation (2014) (10)
Unilateral codings of Bernoulli systems (1975) (10)
Relative weak mixing is generic (2017) (9)
Chebyshev Mappings of Finite Fields (2012) (9)
On universal algorithms for classifying and predicting stationary processes (2021) (9)
NORMALITY PRESERVING OPERATIONS FOR CANTOR SERIES EXPANSIONS AND ASSOCIATED FRACTALS, I (2016) (9)
Universal redundancy rates for the class of B-processes do not exist (1995) (8)
On some generic classes of ergodic measure preserving transformations (2020) (8)
Measured topological orbit and Kakutani equivalence (2009) (8)
On the asymptotics of a 1-parameter family of infinite measure preserving transformations (1998) (8)
Explicit Codes for Some Infinite Entropy Bernoulli Shifts (1992) (8)
Universal minimal topological dynamical systems (2007) (8)
All-sum sets in (0,1]—Category and measure (1997) (8)
Titchmarsh’s convolution theorem on groups (1968) (7)
Measures that vanish on half spaces (1967) (7)
On Hilbert dynamical systems (2010) (7)
Estimating the residual waiting time for binary stationary time series (2009) (7)
Nonparametric sequential prediction for stationary processes (2011) (7)
Higher Order Autocorrelation Functions as Translation Invariants (1970) (7)
Partitions with independent iterates along IP-Sets (1999) (6)
Symmetric Birkhoff sums in infinite ergodic theory (2013) (6)
Splitting behavior of Sn-polynomials (2014) (6)
Coboundaries in L0 (2004) (6)
Uniqueness of maximal entropy odd orbit types (1995) (6)
On the disjointness property of groups and a conjecture of Furstenberg (2018) (6)
The Feynman Operator Calculus (1966) (6)
The Geodesic flow on surfaces of negative curvature (1975) (5)
A note on prediction for discrete time series (2012) (5)
Testing stationary processes for independence (2011) (5)
Rank-one transformations, odometers, and finite factors (2019) (5)
On g-measures in symbolic dynamics (2010) (5)
Any flow is an orbit factor of any flow (1984) (5)
On the work of V. A. Rokhlin in ergodic theory (1989) (5)
When all points are generic for ergodic measures (2021) (5)
An ergodic system is dominant exactly when it has positive entropy (2021) (5)
Topological characteristic factors and nilsystems (2020) (5)
Universal Tests for Memory Words (2013) (4)
Some remarks on filtering and prediction of stationary processes (2005) (4)
Functions which operate on characteristic functions. (1965) (4)
Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations (2016) (4)
Dynamics and entropy of the space of measures (1993) (4)
A combinatorial proof of the Borsuk-Ulam antipodal point theorem (1989) (4)
Universal redundancy rates for B-processes do not exist (1994) (3)
Translation properties of sets of positive upper density (1985) (3)
An Overview of Infinite Ergodic Theory (2000) (3)
Generalized interval exchanges and the 2–3 conjecture (2005) (3)
Inferring the residual waiting time for binary stationary time series (2014) (3)
A topological lens for a measure-preserving system (2009) (3)
The Structure of Bernoulli Systems (2010) (2)
On the bounded cohomology of ergodic group actions (2017) (2)
Significance levels for multiple tests (1997) (2)
A versatile scheme for predicting renewal times (2016) (2)
What is randomness (1999) (2)
G-continuous functions and whirly actions (2004) (2)
Affinely prime dynamical systems (2015) (2)
Universal rates for estimating the residual waiting time in an intermittent way (2020) (2)
A note on discriminating Poisson processes from other point processes with stationary inter arrival times (2019) (2)
Estimating the conditional expectations for continuous time stationary processes (2020) (2)
Correction to “Mixing properties of Markov operators and ergodic transformations, and ergodicity of cartesian products” (1980) (1)
On weak rigidity and weakly mixing enveloping semigroups (2017) (1)
Distal strongly ergodic actions (2018) (1)
Generic distributional limits for measure preserving transformations (1984) (1)
On doubly minimal systems and a question regarding product recurrence (2015) (1)
Pure strictly uniform models of non-ergodic measure automorphisms (2021) (1)
Diophantine Equations With Two Separated Variables. (2011) (1)
On the ergodic properties of Cartan flows in ergodic actions of ${\bf SL}_{\bf 2}{\bf (R)}$ and ${\bf SO}{\bf ({\bi n},1)}$ (1997) (1)
Relative weak mixing is generic (2018) (1)
Odometer Based Systems (2020) (1)
Preface (2020) (0)
The Generalized Factorial (2006) (0)
A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system (2020) (0)
Affinely prime dynamical systems (2017) (0)
UNILATERAL CODINGS OF (1975) (0)
Book Review: Global aspects of ergodic group actions (2013) (0)
Generating Product Systems (2009) (0)
On minimal actions of countable groups (2018) (0)
A Colorful Urn (2013) (0)
Consistency, integrability and asymptotic normality for some intermittent estimators (2021) (0)
Sofic random processes (2011) (0)
Decay and Growth for a Nonlinear Parabolic Equation (2003) (0)
A symbolic representation for Anosov–Katok systems (2019) (0)
A note on the Rényi criterion for Poisson processes and their identification (2022) (0)
Three Zutot (2011) (0)
Galois Groups of p-Adic Polynomials of Fixed Degree (2010) (0)
Predictive sets (2019) (0)
The Mathematical Work of the 2010 Fields Medalists (2011) (0)
THE C ONSTRUCTION O F Q UASI-INVARIANT MEASURES (1972) (0)
Rigid topologies on groups (2022) (0)
On the classification of measure preserving diffeomorphisms of the torus (2014) (0)
On the entropy of linear factors (2008) (0)
Remembering Dan Rudolph (2012) (0)
Forecasting for stationary times series (2002) (0)
MEASURES THAT VANISH ON HALF SPACES1 (2010) (0)
STRICTLY ERGODIC, UNIFORM POSITIVE (1994) (0)
Orbit Properties of Pseudo-homeomorphism Groups of a Perfect Polish Space and their Cocycles (2000) (0)
Minimal Entire Functions (2013) (0)
Recurrence rates and entropy (1999) (0)
Normal elderly men: a longitudinal study. (1983) (0)
Patterns in large sets (1999) (0)
Translation invariant graphs and recurrence (1999) (0)
A note on functions which operate (1968) (0)
Proceedings in Marine Biology (2021) (0)
What is single orbit dynamics (1999) (0)
Investigation of the Dynamics of Binary Asteroids (1991) (0)
Invariant measures, ergodicity and unique ergodicity (1999) (0)
Comparative study of some Vermont talc deposits (1961) (0)
$sup 132$I DECAY. (1971) (0)
Entropy and disjointness (1999) (0)
ALGEBRAIC IDEAS IN ERGODIC THEORY (1992) (0)
Ergodic and uniquely ergodic orbits (1999) (0)
What is a random sequence? (1977) (0)
EXPLICIT CODES FOR SOME INFINITE ENTROPY (2016) (0)

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