Dimitri Shlyakhtenko

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All published works

Action	Title	Year	Authors
+	$C^*$-Algebras	2023	Dimitri Shlyakhtenko Andreas Thom Stefaan Vaes Wilhelm Winter
+ PDF	An inequality for non-microstates free entropy dimension for crossed products by finite abelian groups	2023	Dimitri Shlyakhtenko
+ PDF	Duality for Optimal Couplings in Free Probability	2022	Wilfrid Gangbo David Jekel Kyeongsik Nam Dimitri Shlyakhtenko
+ PDF Chat	Fractional free convolution powers	2022	Dimitri Shlyakhtenko Terence Tao
+ PDF	Tracial smooth functions of non-commuting variables and the free Wasserstein manifold	2022	David Jekel Wuchen Li Dimitri Shlyakhtenko
+	A Inequality for Non-Microstates Free Entropy Dimension for Crossed Products by Finite Abelian Groups	2022	Dimitri Shlyakhtenko
+ PDF	Free transport for convex potentials	2021	Yoann Dabrowski Alice Guionnet Dimitri Shlyakhtenko
+ PDF Chat	Duality for optimal couplings in free probability	2021	Wilfrid Gangbo David Jekel Kyeongsik Nam Dimitri Shlyakhtenko
+ PDF	FREE TRANSPORT FOR CONVEX POTENTIALS	2021	Yoann Dabrowski Alice Guionnet Dimitri Shlyakhtenko
+	Tracial smooth functions of non-commuting variables and the free Wasserstein manifold	2021	David Jekel Wuchen Li Dimitri Shlyakhtenko
+ PDF	Von Neumann algebras of sofic groups with β(2)1=0 are strongly 1-bounded	2020	Dimitri Shlyakhtenko
+	C*-Algebras	2020	Mikael Rørdam Dimitri Shlyakhtenko Andreas Thom Stefaan Vaes
+ PDF Chat	Representing interpolated free group factors as group factors	2020	Sorin Popa Dimitri Shlyakhtenko
+ PDF	Classification of regular subalgebras of the hyperfinite II1 factor	2020	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+	Cocycle Conjugacy of Free Bogoljubov Actions of $\mathbb{R}$	2020	Joshua Tyler Keneda Dimitri Shlyakhtenko
+	Fractional free convolution powers	2020	Dimitri Shlyakhtenko Terence Tao. With an appendix by David Jekel
+	Random matrices and free probability	2019	Dimitri Shlyakhtenko
+ PDF Chat	Classification of a family of non-almost-periodic free Araki–Woods factors	2019	Cyril Houdayer Dimitri Shlyakhtenko Stefaan Vaes
+	Classification of regular subalgebras of the hyperfinite II_1 factor	2018	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+	Representing interpolated free group factors as group factors	2018	Sorin Popa Dimitri Shlyakhtenko
+	A (Co)homology Theory for Subfactors and Planar Algebras	2018	Dimitri Shlyakhtenko
+ PDF	Free probability of type B and asymptotics of finite-rank perturbations of random matrices	2018	Dimitri Shlyakhtenko
+	Classification of regular subalgebras of the hyperfinite II_1 factor	2018	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+	Representing interpolated free group factors as group factors	2018	Sorin Popa Dimitri Shlyakhtenko
+ PDF Chat	Free Analysis and Planar Algebras	2017	Stephen Curran Yoann Dabrowski Dimitri Shlyakhtenko
+	Free transport for convex potentials	2017	Y. Dabrowski A. Guionnet Dimitri Shlyakhtenko
+ PDF	Cohomology and $L^2$-Betti Numbers for Subfactors and Quasi-Regular Inclusions	2016	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+	Free monotone transport	2016	Dimitri Shlyakhtenko
+	Classification of a family of non almost periodic free Araki-Woods factors	2016	Cyril Houdayer Dimitri Shlyakhtenko Stefaan Vaes
+	Free entropy dimension and regularity of non-commutative polynomials	2016	Ian Charlesworth Dimitri Shlyakhtenko
+	Von Neumann Algebras of Sofic Groups with $\beta_{1}^{(2)}=0$ are Strongly $1$-Bounded	2016	Dimitri Shlyakhtenko
+	Classification of a family of non almost periodic free Araki-Woods factors	2016	Cyril Houdayer Dimitri Shlyakhtenko Stefaan Vaes
+	Von Neumann Algebras of Sofic Groups with $β_{1}^{(2)}=0$ are Strongly $1$-Bounded	2016	Dimitri Shlyakhtenko
+	Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions	2015	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+ PDF Chat	Freely independent random variables with non-atomic distributions	2015	Dimitri Shlyakhtenko Paul Skoufranis
+	Free probability of type B and asymptotics of finite-rank perturbations of random matrices	2015	Dimitri Shlyakhtenko
+	Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions	2015	Sorin Popa Dimitri Shlyakhtenko Stefaan Vaes
+	Free Entropy Dimension and Atoms	2014	Dimitri Shlyakhtenko
+	Regularity of Polynomials in Free Variables	2014	Ian Charlesworth Dimitri Shlyakhtenko
+	Free analysis and planar algebras	2014	Yoann Dabrowski Dimitri Shlyakhtenko Stephen Curran
+ PDF Chat	Free monotone transport	2013	Alice Guionnet Dimitri Shlyakhtenko
+	On the symmetric enveloping algebra of planar algebra subfactors	2013	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+ PDF Chat	On operator-valued free convolution powers	2013	Dimitri Shlyakhtenko
+ PDF Chat	Loop Models, Random Matrices and Planar Algebras	2012	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko Paul Zinn-Justin
+ PDF Chat	Free probability of type B : analytic interpretation and applications	2012	Serban Belinschi Dimitri Shlyakhtenko
+	Free Monotone Transport	2012	Alice Guionnet Dimitri Shlyakhtenko
+	A semi-finite algebra associated to a subfactor planar algebra	2011	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	On the symmetric enveloping algebra of planar algebra subfactors	2011	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+ PDF Chat	Free probability, Planar algebras, Subfactors and Random Matrices	2011	Dimitri Shlyakhtenko
+	On operator-valued free convolution powers	2011	Dimitri Shlyakhtenko
+	On the symmetric enveloping algebra of planar algebra subfactors	2011	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+ PDF Chat	Strongly Solid II1 Factors with an Exotic MASA	2010	Cyril Houdayer Dimitri Shlyakhtenko
+ PDF	An orthogonal approach to the subfactor of a planar algebra	2010	Vaughan F. R. Jones Dimitri Shlyakhtenko Kevin Walker
+	Free probability, Planar algebras, Subfactors and Random Matrices	2010	Dimitri Shlyakhtenko
+ PDF	Lower estimates on microstates free entropy dimension	2009	Dimitri Shlyakhtenko
+ PDF Chat	Free Diffusions and Matrix Models with Strictly Convex Interaction	2009	Alice Guionnet Dimitri Shlyakhtenko
+	A semi-finite algebra associated to a planar algebra	2009	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	Strongly solid ${\rm II_1}$ factors with an exotic MASA	2009	Cyril Houdayer Dimitri Shlyakhtenko
+	An orthogonal approach to the subfactor of a planar algebra	2008	Vaughan F. R. Jones Dimitri Shlyakhtenko Kevin Walker
+	Shannon's monotonicity problem for free and classical entropy	2007	Dimitri Shlyakhtenko Hanne Schultz
+ PDF Chat	On classical analogues of free entropy dimension	2007	Alice Guionnet Dimitri Shlyakhtenko
+ PDF	Any generating set of an arbitrary property T von Neumann algebra has free entropy dimension ≤ 1	2007	Kenley Jung Dimitri Shlyakhtenko
+	Random matrices, free probability, planar algebras and subfactors	2007	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	Lower estimates on microstates free entropy dimension	2007	Dimitri Shlyakhtenko
+	Free diffusions and Matrix models with strictly convex interaction	2007	Alice Guionnet Dimitri Shlyakhtenko
+	On Classical Analogues of Free Entropy Dimension	2007	Alice Guionnet Dimitri Shlyakhtenko
+ PDF Chat	A free analogue of Shannon's problem on monotonicity of entropy	2006	Dimitri Shlyakhtenko
+	FREE ENTROPY DIMENSION AND PROPERTY T	2006	Kenley Jung Dimitri Shlyakhtenko
+ PDF	Picard groups of topologically stable Poisson structures	2006	Olga Radko Dimitri Shlyakhtenko
+	All generating sets of all property T von Neumann algebras have free entropy dimension $\leq 1$	2006	Kenley Jung Dimitri Shlyakhtenko
+	Remarks on Free Entropy Dimension	2006	Dimitri Shlyakhtenko
+	<i>L</i><sup>2</sup>-homology for von Neumann algebras	2005	Alain Connes Dimitri Shlyakhtenko
+ PDF Chat	Non-microstates free entropy dimension for groups	2005	Igor Mineyev Dimitri Shlyakhtenko
+	Notes on Free Probability Theory	2005	Dimitri Shlyakhtenko
+ PDF	The microstates free entropy dimension of any DT-operator is 2	2005	Ken Dykema Kenley Jung Dimitri Shlyakhtenko
+	A Free Analogue of Shannon's Problem on Monotonicity of Entropy	2005	Dimitri Shlyakhtenko
+	Remarks on free entropy dimension	2005	Dimitri Shlyakhtenko
+	On the classification of full factors of type III	2004	Dimitri Shlyakhtenko
+	None	2004	Dimitri Shlyakhtenko
+	Picard groups of topologically stable Poisson structures	2004	Olga Radko Dimitri Shlyakhtenko
+	The Microstates Free Entropy Dimension of any DT--operator is 2	2004	Ken Dykema Kenley Jung Dimitri Shlyakhtenko
+ PDF	Free Fisher information for non-tracial states	2003	Dimitri Shlyakhtenko
+ PDF Chat	Grothendieck's theorem for operator spaces	2003	Gilles Pisier Dimitri Shlyakhtenko
+ PDF Chat	Microstates free entropy and cost of equivalence relations	2003	Dimitri Shlyakhtenko
+ PDF	Cartan subalgebras and bimodule decompositions of $ \mathrm{II}_1 $ factors	2003	Sorin Popa Dimitri Shlyakhtenko
+ PDF	Universal properties of L(F∞) in subfactor theory	2003	Sorin Popa Dimitri Shlyakhtenko
+	On multiplicity and free absorption for free Araki-Woods factors	2003	Dimitri Shlyakhtenko
+	L^2-Homology for von Neumann Algebras	2003	Alain Connes Dimitri Shlyakhtenko
+	Some estimates for non-microstates free entropy dimension, with applications to $q$-semicircular families	2003	Dimitri Shlyakhtenko
+	Non-microstates free entropy dimension for groups	2003	Igor Mineyev Dimitri Shlyakhtenko
+	Irreducible subfactors of L(double-struck F sign∞) of index λ > 4	2002	Dimitri Shlyakhtenko Yoshimichi Ueda
+ PDF Chat	Grothendieck’s theorem for operator spaces	2002	Gilles Pisier Dimitri Shlyakhtenko
+ PDF Chat	A MICROSTATES APPROACH TO RELATIVE FREE ENTROPY	2002	Dimitri Shlyakhtenko
+	Irreducible subfactors of LF∞ of index λ >4	2002	Dimitri Shlyakhtenko Yoshimichi Ueda
+	None	2002	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+ PDF	Topological entropy of free product automorphisms	2002	Nathanial P. Brown Kenneth J. Dykema Dimitri Shlyakhtenko
+	R-Cyclic Families of Matrices in Free Probability	2002	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Operator-valued distributions: I. Characterizations of freeness	2002	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	On the Classification of Full Factors of Type III	2002	Dimitri Shlyakhtenko
+ PDF	EXACTNESS OF CUNTZ–PIMSNER <i>C</i><sup>*</sup>-ALGEBRAS	2001	Kenneth J. Dykema Dimitri Shlyakhtenko
+	Free Fisher Information�with Respect to a Completely Positive Map�and Cost of Equivalence Relations	2001	Dimitri Shlyakhtenko
+	A Characterization of Freeness by a Factorization Property of R-transform	2001	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	R-cyclic families of matrices in free probability	2001	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Free Fisher Information for Non-Tracial States	2001	Dimitri Shlyakhtenko
+ PDF	Prime type III factors	2000	Dimitri Shlyakhtenko
+	Irreducible subfactors of $L(\mathbb F_\infty)$ of index $\lambda>4$	2000	Dimitri Shlyakhtenko Yoshimichi Ueda
+	Free entropy with respect to a completely positive map	2000	Dimitri Shlyakhtenko
+	Topological Entropy of Free Product Automorphisms	2000	Nathanial P. Brown Kenneth J. Dykema Dimitri Shlyakhtenko
+	Irreducible subfactors of $L(\mathbb F_\infty)$ of index $λ>4$	2000	Dimitri Shlyakhtenko Yoshimichi Ueda
+	A-Valued Semicircular Systems	1999	Dimitri Shlyakhtenko
+	Some Minimization Problems for the Free Analogue of the Fisher Information	1999	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+ PDF	Maximality of the microstates free entropy for R-diagonal elements	1999	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Exactness of Cuntz-Pimsner C*-algebras	1999	Ken Dykema Dimitri Shlyakhtenko
+	Microstates free entropy and cost of equivalence relations	1999	Dimitri Shlyakhtenko
+ PDF	Gaussian random band matrices and operator-valued free probability theory	1998	Dimitri Shlyakhtenko
+	Maximality of the microstates free entropy for R-diagonal elements	1998	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	A Microstates Approach to Relative Free Entropy	1998	Dimitri Shlyakhtenko
+	Some minimization problems for the free analogue of the Fisher information	1998	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+ PDF	Free quasi-free states	1997	Dimitri Shlyakhtenko
+	Limit distributions of matrices with bosonic and fermionic entries	1996	Dimitri Shlyakhtenko
+	None	1996	Dimitri Shlyakhtenko

Common Coauthors

Coauthor	Papers Together
Alice Guionnet	12
Sorin Popa	11
Stefaan Vaes	11
Alexandru Nica	9
Vaughan F. R. Jones	9
Roland Speicher	9
Kenley Jung	5
Cyril Houdayer	5
Yoann Dabrowski	4
Yoshimichi Ueda	4
David Jekel	4
Ken Dykema	3
Kenneth J. Dykema	3
Stephen Curran	3
Nathanial P. Brown	2
Alain Connes	2
Igor Mineyev	2
Gilles Pisier	2
Wilfrid Gangbo	2
Ian Charlesworth	2
Olga Radko	2
Andreas Thom	2
Kyeongsik Nam	2
Stephen Curran	2
Wuchen Li	2
Paul Zinn-Justin	1
Kevin Walker	1
Paul Skoufranis	1
Terence Tao. With an appendix by David Jekel	1
Hanne Schultz	1
Terence Tao	1
Serban Belinschi	1
Y. Dabrowski	1
Mikael Rørdam	1
A. Guionnet	1
Wilhelm Winter	1
Joshua Tyler Keneda	1
Kevin Walker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The analogues of entropy and of Fisher's information measure in free probability theory, II	1994	Dan Voiculescu	46
+	Free Random Variables	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica	26
+ PDF	The analogues of entropy and of Fisher's information measure in free probability theory	1998	Dan Voiculescu	23
+	A-Valued Semicircular Systems	1999	Dimitri Shlyakhtenko	20
+	Large deviation bounds for matrix Brownian motion	2003	Philippe Biane Mireille Capitaine Alice Guionnet	18
+ PDF	The analogues of entropy and of Fisher's information measure in free probability theory, I	1993	Dan Voiculescu	18
+	Combinatorial theory of the free product with amalgamation and operator-valued free probability theory	1998	Roland Speicher	16
+	None	1998	Dan Voiculescu	16
+	The analogues of entropy and of fisher's information measure in free probability theory III: The absence of cartan subalgebras	1996	Dan Voiculescu	15
+ PDF	Free quasi-free states	1997	Dimitri Shlyakhtenko	14
+ PDF	Interpolated free group factors	1994	Kenneth J. Dykema	13
+	Limit laws for Random matrices and free products	1991	Dan Voiculescu	12
+	Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index	1994	Florin R�dulescu	11
+	Free Entropy	2001	Dan Voiculescu	11
+	Symmetries of some reduced free product C*-algebras	1985	Dan Voiculescu	11
+	Invariants ℓ2 de relations d’équivalence et de groupes	2002	Damien Gaboriau	10
+ PDF	On a class of type II<sub>1</sub>factors with Betti numbers invariants	2006	Sorin Popa	10
+	Multiplicative functions on the lattice of non-crossing partitions and free convolution	1994	Roland Speicher	10
+	An axiomatization of the lattice of higher relative commutants of a subfactor	1995	Sorin Popa	10
+	<i>L</i><sup>2</sup>-homology for von Neumann algebras	2005	Alain Connes Dimitri Shlyakhtenko	10
+	Applications of Free Entropy to Finite von Neumann Algebras, II	1998	Liming Ge	10
+	Index for subfactors	1983	Vaughan F. R. Jones	10
+	Random matrices, free probability, planar algebras and subfactors	2007	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko	9
+	L2-Cohomology and group cohomology	1986	Jeff Cheeger Mikhael Gromov	9
+	Addition of certain non-commuting random variables	1986	Dan Voiculescu	9
+ PDF	An Introduction to Random Matrices	2009	Greg W. Anderson Alice Guionnet Ofer Zeitouni	9
+	The Planar Algebra of a bipartite graph	2000	Vaughan F. R. Jones	8
+	L2-Invariants: Theory and Applications to Geometry and K-Theory	2002	Wolfgang Lück	8
+	Almost periodic states and factors of type III1	1974	Alain Connes	8
+	Combinatorial aspects of matrix models	2005	Alice Guionnet Édouard Maurel-Segala	8
+ PDF	Coxeter Graphs and Towers of Algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones	8
+	Some Minimization Problems for the Free Analogue of the Fisher Information	1999	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher	8
+ PDF	A free entropy dimension lemma	2003	Kenley Jung	7
+	Markov traces on universal Jones algebras and subfactors of finite index	1993	Sorin Popa	7
+ PDF	Solid von Neumann algebras	2004	Narutaka Ozawa	7
+ PDF	Property T for von Neumann Algebras	1985	Alain Connes Vaughan F. R. Jones	7
+	None	2004	Dimitri Shlyakhtenko	7
+ PDF Chat	Free monotone transport	2013	Alice Guionnet Dimitri Shlyakhtenko	7
+ PDF Chat	Strongly 1-Bounded Von Neumann Algebras	2007	Kenley Jung	7
+ PDF	The free entropy dimension of hyperfinite von Neumann algebras	2003	Kenley Jung	6
+	Coût des relations d’équivalence et des groupes	2000	Damien Gaboriau	6
+	None	2005	Nathanial P. Brown	6
+ PDF	Lower estimates on microstates free entropy dimension	2009	Dimitri Shlyakhtenko	6
+ PDF	Ergodic equivalence relations, cohomology, and von Neumann algebras. I	1977	Jacob J. Feldman Calvin C. Moore	6
+	None	1996	Dimitri Shlyakhtenko	6
+ PDF Chat	Free Diffusions and Matrix Models with Strictly Convex Interaction	2009	Alice Guionnet Dimitri Shlyakhtenko	6
+	Free Entropy	2002	Dan Voiculescu	6
+	There is no separable universal 𝐼𝐼₁-factor	2003	Narutaka Ozawa	5
+	Free products of hyperfinite von Neumann algebras and free dimension	1993	Ken Dykema	5
+	Free entropy dimension ≤ 1 for some generators of property T factors of type II1	1999	Dan-Virgil Voiculescu	5