Michael Lin | Academic Influence

Michael Lin 's AcademicInfluence.com Rankings

Michael Lin

Mathematics

#5927

World Rank

#8290

Historical Rank

Group Theory

#278

World Rank

#326

Historical Rank

Algebra

#465

World Rank

#628

Historical Rank

Measure Theory

#3805

World Rank

#4485

Historical Rank

mathematics Degrees

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Mathematics

Michael Lin 's Degrees

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

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Why Is Michael Lin Influential?

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According to Wikipedia, Michael Lin is an Israeli mathematician, who has published scientific articles in the field of probability concentrating on Markov chains and ergodic theory. He serves as professor emeritus at the Department of Mathematics in Ben-Gurion University of the Negev . Additionally, he is a member of the academic board and serves as the academic coordinator at Achva Academic College. Professor Lin is considered a Zionist, as he gave up a position at Ohio State University in order to promote the field of mathematics in Israel.

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Michael Lin '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

On the uniform ergodic theorem (1974) (146)
Mixing for Markov operators (1971) (90)
Fractional Poisson equations and ergodic theorems for fractional coboundaries (2001) (87)
The central limit theorem for Markov chains with normal transition operators, started at a point (2001) (82)
Mixing properties of Markov operators and ergodic transformations, and ergodicity of cartesian products (1979) (76)
The central limit theorem for Markov chains started at a point (2003) (71)
On Invariant Measures and Ergodic Theorems for Positive Operators (1973) (42)
Conservative markov processes on a topological space (1970) (41)
Ergodic Characterizations of Reflexivity of Banach Spaces (2001) (40)
Convergence of iterates of averages of certain operator representations and of convolution powers (1989) (37)
Modulated and subsequential ergodic theorems in Hilbert and Banach spaces (2002) (34)
On modulated ergodic theorems for Dunford-Schwartz operators (1999) (33)
ERGODIC THEOREMS OF WEAK MIXING TYPE (1976) (33)
Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory (2005) (30)
Remarks on uniform ergodic theorems (2013) (28)
On the fixed points of commuting nonexpansive maps in hyperconvex spaces (1992) (27)
On the one-sided ergodic Hilbert transform (2007) (27)
Quasi-compactness and uniform ergodicity of positive operators (1978) (23)
Pointwise ergodic theorems with rate and application to the CLT for Markov chains (2009) (22)
Laws of large numbers with rates and the one-sided ergodic Hilbert transform (2003) (21)
Unimodular eigenvalues and weak mixing (1980) (21)
On the range of the generator of a Markovian semigroup (1984) (20)
SLLN for Weighted Independent Identically Distributed Random Variables (2004) (19)
Order preserving nonexpansive operators inL1 (1987) (18)
The One-sided Ergodic Hilbert Transform of Normal Contractions (2009) (18)
On Quasi-Compact Markov Operators (1974) (18)
Weighted ergodic theorems and strong laws of large numbers (2007) (17)
On the Deterministic and Asymptotic σ-Algebras of a Markov Operator (1989) (15)
Almost everywhere convergence of powers of some positive Lp contractions (2014) (15)
Weighted ergodic theorems for mean ergodic ₁-contractions (1998) (15)
Weak almost periodicity of $L_1$ contractions and coboundaries of non-singular transformations (2000) (15)
Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces (1990) (15)
Averages of unitary representations and weak mixing of random walks (1995) (15)
On the uniform ergodic theorem in Banach spaces that do not contain duals (1996) (13)
The one-sided ergodic Hilbert transform in Banach spaces (2010) (13)
Besicovitch Functions and Weighted Ergodic Theorems for LCA Group Actions (1996) (13)
Convergence of representation averages and of convolution powers (1994) (12)
Ergodic sequences of averages of group representations (1994) (12)
Quasi-compactness and uniform ergodicity of Markov operators (1975) (11)
On the fixed point set of nonexpansive order preserving maps (1990) (11)
Twisty Takens: a geometric characterization of good observations on dense trajectories (2018) (11)
Strong ratio limit theorems for mixing Markov operators (1976) (10)
On the “zero-two” law for conservative Markov processes (1982) (10)
Weighted Ergodic Theorems Along Subsequences of Density Zero (1998) (9)
Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations (1999) (8)
On modulated ergodic theorems (2017) (8)
Convergence of the iterates of a Markov operator (1974) (8)
Pointwise ergodic theorems for certain order preserving mappings in L1 (1991) (8)
Mean Ergodicity of L1 Contractions and Pointwise Ergodic Theorems (1991) (8)
Limit theorems for Markov chains by the symmetrization method (2016) (8)
On local ergodic convergence of semi-groups and additive processes (1982) (7)
Resolvent conditions and growth of powers of operators (2019) (7)
Limit theorems for random walks with dynamical random transitions (1994) (7)
A non-reflexive Banach space with all contractions mean ergodic (2010) (7)
Strong Ratio Limit Theorems for Markov Processes (1972) (7)
The individual ergodic theorem for non-invariant measures (1977) (7)
Ergodic properties of an operator obtained from a continuous representation (1977) (7)
Coboundaries of irreducible markov operators onC(K) (1997) (6)
ON THE UNIFORM ERGODIC THEOREM. II (2010) (6)
The uniform zero-two law for positive operators in Banach lattices (1998) (6)
VARIANCE BOUNDING MARKOV CHAINS, L2-UNIFORM MEAN ERGODICITY AND THE CLT (2011) (6)
Remarks on rates of convergence of powers of contractions (2016) (6)
Almost sure convergence of weighted sums of independent random variables (2008) (5)
An integral representation of disjointly additive order preserving operators in L 1 (1988) (5)
Mixed ratio limit theorems for Markov processes (1970) (5)
WEIGHTED ERGODIC THEOREMS FOR MEAN ERGODIC L 1 -CONTRACTIONS (1997) (4)
Uniform ergodic convergence and averaging along Markov chain trajectories (1994) (4)
Convolution powers of spread-out probabilities (1996) (4)
On convergence of power series of $L_p$ contractions (2017) (3)
Mixing of Cartesian squares of positive operators (1972) (3)
A spectral condition for strong convergence of Markov operators (1979) (2)
Contractive projections on the fixed point set of $L_∞$ contractions (1991) (2)
On weakly mixing Markov operators and non-singular transformations (1981) (2)
A limit theorem for order preserving nonexpansive operators inL1 (1990) (2)
Support overlapping $L_{1}$ contractions and exact non-singular transformations (2000) (2)
On subinvariant measures for positive operators in L1 (1993) (2)
Almost everywhere convergence of convolution powers on compact abelian groups (2013) (1)
Correction to “Mixing properties of Markov operators and ergodic transformations, and ergodicity of cartesian products” (1980) (1)
$L^2$-Quasi-compact and hyperbounded Markov operators (2022) (1)
On the convergence of ergodic ratios for positive operators (1976) (1)
Weak mixing for semi-groups of markov operators without finite invariant measures (1979) (1)
Change of velocity and ergodicity in flows and in Markov semi-groups (1977) (1)
Poisson's equation and characterizations of reflexivity of Banach spaces (2011) (1)
CONSISTENCY OF THE LSE IN LINEAR REGRESSION WITH STATIONARY NOISE (2004) (1)
Ja n 20 20 JOINT AND DOUBLE COBOUNDARIES OF COMMUTING CONTRACTIONS (2020) (0)
Ergodic Characterizations of Reflexivity of (2001) (0)
STRONG RATIO LIMIT THEOREMS (2016) (0)
בעיות בתורה הארגודית של תהליכי מרקוב (Problems in the ergodic theory of Markov processes.) (1971) (0)
Reflexive Banach spaces with all power-bounded operators almost periodic (2020) (0)
Joint and double coboundaries of commuting contractions (2020) (0)
Rates of convergence of powers of contractions (2017) (0)

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