Kechris, Alexander S.

Article from CaltechAUTHORS

• Frisch, Joshua R. and Kechris, Alexander S., et el. (2022) Lifts of Borel actions on quotient spaces; Israel Journal of Mathematics; Vol. 251; No. 2; 379-421; 10.1007/s11856-022-2434-z
• Kechris, Alexander S. and Malicki, Maciej, et el. (2022) On Polish groups admitting non-essentially countable actions; Ergodic Theory and Dynamical Systems; Vol. 42; No. 1; 180-194; 10.1017/etds.2020.133
• Burton, Peter J. and Kechris, Alexander S. (2020) Weak containment of measure-preserving group actions; Ergodic Theory and Dynamical Systems; Vol. 40; No. 10; 2681-2733; 10.1017/etds.2019.26
• Kechris, Alexander S. and Quorning, Vibeke (2019) Co-induction and invariant random subgroups; Groups, Geometry, and Dynamics; Vol. 13; No. 4; 1151-1193; 10.4171/GGD/517
• Kechris, Alexander S. and Nies, André, et el. (2018) The complexity of topological group isomorphism; Journal of Symbolic Logic; Vol. 83; No. 3; 1190-1203; 10.1017/jsl.2018.25
• Chen, Ruiyuan and Kechris, Alexander S. (2018) Structurable equivalence relations; Fundamenta Mathematicae; Vol. 242; 109-185; 10.4064/fm428-7-2017
• Burton, Peter J. and Kechris, Alexander S. (2017) Invariant random subgroups and action versus representation maximality; Proceedings of the American Mathematical Society; Vol. 145; No. 9; 3961-3971; 10.1090/proc/13591
• Macdonald, Henry L. and Kechris, Alexander S. (2016) Borel equivalence relations and cardinal algebras; Fundamenta Mathematicae; Vol. 235; 183-198; 10.4064/fm242-4-2016
• Angel, Omer and Kechris, Alexander S., et el. (2014) Random orderings and unique ergodicity of automorphism groups; Journal of the European Mathematical Society; Vol. 16; No. 10; 2059-2095; 10.4171/JEMS/483
• Conley, Clinton T. and Kechris, Alexander S., et el. (2013) Stationary probability measures and topological realizations; Israel Journal of Mathematics; Vol. 198; No. 1; 333-345; 10.1007/s11856-013-0025-8
• Conley, Clinton T. and Kechris, Alexander S., et el. (2013) Ultraproducts of measure preserving actions and graph combinatorics; Ergodic Theory and Dynamical Systems; Vol. 33; 334-374; 10.1017/S0143385711001143
• Conley, Clinton T. and Kechris, Alexander S. (2013) Measurable chromatic and independence numbers for ergodic graphs and group actions; Groups, Geometry, and Dynamics; Vol. 7; No. 1; 127-180; 10.4171/GGD/179
• Kechris, Alexander S. (2012) Weak containment in the space of actions of a free group; Israel Journal of Mathematics; Vol. 189; No. 1; 461-507; 10.1007/s11856-011-0182-6
• Kechris, Alexander S. (2012) Trigonometric series and set theory; Roczniki. Seria 2: Wiadomości Matematyczne; Vol. 48; No. 2; 109-118
• Kechris, Alexander S. and Sokić, Miodrag (2012) Dynamical properties of the automorphism groups of the random poset and random distributive lattice; Fundamenta Mathematicae; Vol. 218; No. 1; 69-94; 10.4064/fm218-1-4
• Kechris, Alexander S. (2011) In Memoriam: Gregory Hjorth, 1963-2011; Bulletin of Symbolic Logic; Vol. 17; No. 3; 471-477
• Ioana, Adrian and Kechris, Alexander S., et el. (2009) Subequivalence relations and positive-definite functions; Groups, Geometry, and Dynamics; Vol. 3; No. 4; 579-625; 10.48550/arXiv.0806.0430
• Kechris, Alexander S. and Miller, Benjamin D. (2008) Means on equivalence relations; Israel Journal of Mathematics; Vol. 163; No. 1; 241-262; 10.1007/s11856-008-0011-8
• Kechris, Alexander S. and Tsankov, Todor (2008) Amenable actions and almost invariant sets; Proceedings of the American Mathematical Society; Vol. 136; No. 2; 687-697; 10.1090/S0002-9939-07-09116-2
• Kechris, Alexander S. and Rosendal, Christian (2007) Turbulence, amalgamation, and generic automorphisms of homogeneous structures; Proceedings of the London Mathematical Society; Vol. 94; No. 2; 302-350; 10.1112/plms/pdl007
• Kechris, A. S. (2007) Unitary representations and modular actions; Journal of Mathematical Sciences; Vol. 140; No. 3; 398-425; 10.1007/s10958-007-0449-y
• Hjorth, Greg and Kechris, Alexander S. (2005) Rigidity theorems for actions of product groups and countable Borel equivalence relations; Memoirs of the American Mathematical Society; Vol. 177; No. 833; 1-109
• Kechris, A. S. and Pestov, V. G., et el. (2005) Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups; Geometric and Functional Analysis; Vol. 15; No. 1; 106-189; 10.1007/s00039-005-0503-1
• Gao, Su and Kechris, Alexander S. (2003) On the classification of Polish metric spaces up to isometry; Memoirs of the American Mathematical Society; Vol. 161; No. 766; 1-78
• Kechris, A. S. and Pestov, V., et el. (2003) Universal minimal flows of automorphism groups; Bulletin Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques; Vol. 28; 93-106
• Jackson, S. and Kechris, A. S., et el. (2002) Countable Borel equivalence relations; Journal of Mathematical Logic; Vol. 2; No. 1; 1-80
• Kechris, A. S. and Sofronidis, N. E. (2001) A strong generic ergodicity property of unitary and self-adjoint operators; Ergodic Theory and Dynamical Systems; Vol. 21; 1459-1479; 10.1017/S0143385701001705
• Clemens, John D. and Gao, Su, et el. (2001) Polish Metric Spaces: Their Classification and Isometry Groups; Bulletin of Symbolic Logic; Vol. 7; No. 3; 361-375; 10.2307/2687754
• Buss, Samuel R. and Kechris, Alexander S., et el. (2001) The prospects for mathematical logic in the twenty-first century; Bulletin of Symbolic Logic; Vol. 7; No. 2; 169-196; 10.2307/2687773
• Hjorth, Greg and Kechris, Alexander S. (2001) Recent developments in the theory of Borel reducibility; Fundamenta Mathematicae; Vol. 170; No. 1-2; 21-52
• Camerlo, Riccardo and Kechris, Alexander S. (2000) Countable structures with a fixed group of automorphisms; Israel Journal of Mathematics; Vol. 117; No. 1; 105-124; 10.1007/BF02773566
• Kechris, Alexander S. (2000) On the Classification Problem for Rank 2 Torsion-Free Abelian Groups; Journal of the London Mathematical Society; Vol. 62; No. 2; 437-450; 10.1112/S0024610700001411
• Adams, Scot and Kechris, Alexander S. (2000) Linear algebraic groups and countable Borel equivalence relations; Journal of the American Mathematical Society; Vol. 13; No. 4; 909-943; 10.1090/S0894-0347-00-00341-6
• Hjorth, G. and Kechris, A. S. (2000) The complexity of the classification of Riemann surfaces and complex manifolds; Illinois Journal of Mathematics; Vol. 44; No. 1; 104-137
• Kechris, Alexander S. (1999) New Directions in Descriptive Set Theory; Bulletin of Symbolic Logic; Vol. 5; No. 2; 161-174; 10.2307/421088
• Kechris, A. S. and Solecki, S., et el. (1999) Borel Chromatic Numbers; Advances in Mathematics; Vol. 141; No. 1; 1-44; 10.1006/aima.1998.1771
• Kechris, Alexander S. (1998) Rigidity properties of Borel ideals on the integers; Topology and Its Applications; Vol. 85; No. 1-3; 195-205; 10.1016/S0166-8641(97)00150-8
• Hjorth, Greg and Kechris, Alexander S., et el. (1998) Borel equivalence relations induced by actions of the symmetric group; Annals of Pure and Applied Logic; Vol. 92; No. 1; 63-112; 10.1016/S0168-0072(97)00049-3
• Gordon, Alexander Y. and Kechris, Alexander S. (1998) Measurable enumeration of eigenelements; Applicable Analysis: An International Journal; Vol. 71; No. 1-4; 41-61
• Hjorth, Greg and Kechris, Alexander S. (1997) New Dichotomies for Borel Equivalence Relations; Bulletin of Symbolic Logic; Vol. 3; No. 3; 329-346; 10.2307/421148
• Kechris, Alexander S. (1997) On the concept of π^1_1-completeness; Proceedings of the American Mathematical Society; Vol. 125; No. 6; 1811-1814; 10.1090/S0002-9939-97-03770-2
• Kechris, Alexander S. and Louveau, Alain (1997) The classification of hypersmooth Borel equivalence relations; Journal of the American Mathematical Society; Vol. 10; No. 1; 215-242; 10.1090/S0894-0347-97-00221-X
• Hjorth, Greg and Kechris, Alexander S. (1996) Borel equivalence relations and classifications of countable models; Annals of Pure and Applied Logic; Vol. 82; No. 3; 221-272; 10.1016/S0168-0072(96)00006-1
• Hjorth, Greg and Kechris, Alexander S. (1995) Analytic Equivalence Relations and Ulm-Type Classifications; Journal of Symbolic Logic; Vol. 60; No. 4; 1273-1300; 10.2307/2275888
• Kechris, A. S. and Solecki, S. (1995) Approximation of analytic by Borel sets and definable countable chain conditions; Israel Journal of Mathematics; Vol. 89; No. 1-3; 343-356; 10.1007/BF02808208
• Kechris, Alexander S. (1994) Topology and descriptive set theory; Topology and Its Applications; Vol. 58; No. 3; 195-222; 10.1016/0166-8641(94)00146-4
• Dougherty, R. and Jackson, S., et el. (1994) The structure of hyperfinite Borel equivalence relations; Transactions of the American Mathematical Society; Vol. 341; No. 1; 193-225; 10.2307/2154620
• Kechris, Alexander S. (1994) Countable Sections for Locally Compact Group Actions. II; Proceedings of the American Mathematical Society; Vol. 120; No. 1; 241-247
• Kechris, Alexander S. (1993) Amenable Versus Hyperfinite Borel Equivalence Relations; Journal of Symbolic Logic; Vol. 58; No. 3; 894-907; 10.2307/2275102
• Becker, Howard and Kechris, Alexander S. (1993) Borel actions of Polish groups; Bulletin of the American Mathematical Society; Vol. 28; No. 2; 334-341; 10.1090/S0273-0979-1993-00383-5
• Kechris, Alexander S. (1992) Countable sections for locally compact group actions; Ergodic Theory and Dynamical Systems; Vol. 12; No. 2; 283-295; 10.1017/S0143385700006751
• Kechris, A. S. and Louveau, A. (1992) Descriptive Set Theory and Harmonic Analysis; Journal of Symbolic Logic; Vol. 57; No. 2; 413-441; 10.2307/2275277
• Dougherty, Randall and Kechris, Alexander S. (1991) The Complexity of Antidifferentiation; Advances in Mathematics; Vol. 88; No. 2; 145-169; 10.1016/0001-8708(91)90006-S
• Kechris, Alexander S. (1991) Hereditary properties of the class of closed sets of uniqueness for trigonometric series; Israel Journal of Mathematics; Vol. 73; No. 2; 189-198; 10.1007/BF02772948
• Kechris, Alexander S. (1991) Boundedness theorems for dilators and ptykes; Annals of Pure and Applied Logic; Vol. 52; No. 1-2; 79-92; 10.1016/0168-0072(91)90040-S
• Kechris, A. S. and Woodin, W. H. (1991) A strong boundedness theorem for dilators; Annals of Pure and Applied Logic; Vol. 52; No. 1-2; 93-97; 10.1016/0168-0072(91)90041-J
• Kechris, Alexander S. (1991) Amenable Equivalence Relations and Turing Degrees; Journal of Symbolic Logic; Vol. 56; No. 1; 182-194; 10.2307/2274913
• Kechris, A. S. and Louveau, A., et el. (1991) The Class Of Synthesizable Pseudomeasures; Illinois Journal of Mathematics; Vol. 35; No. 1; 107-146
• Harrington, L. A. and Kechris, A. S., et el. (1990) A Glimm-Effros dichotomy for Borel equivalence relations; Journal of the American Mathematical Society; Vol. 3; No. 4; 903-928; 10.1090/S0894-0347-1990-1057041-5
• Kechris, A. S. and Louveau, A. (1990) A Classification of Baire Class 1 Functions; Transactions of the American Mathematical Society; Vol. 318; No. 1; 209-236
• Kechris, Alexander S. and Louveau, Alain (1990) Covering theorems for uniqueness and extended uniqueness sets; Colloquium Mathematicum; Vol. 59; No. 1; 63-79
• Kechris, Alexander S. and Marker, David, et el. (1989) Π^1_1 Borel Sets; Journal of Symbolic Logic; Vol. 54; No. 3; 915-920
• Dougherty, R. and Kechris, A. S. (1989) Hausdorff Measures and Sets of Uniqueness for Trigonometric Series; Proceedings of the American Mathematical Society; Vol. 105; No. 4; 894-897; 10.2307/2047049
• Kechris, Alexander S. and Lyons, Russell (1988) Ordinal Rankings on Measures Annihilating Thin Sets; Transactions of the American Mathematical Society; Vol. 310; No. 2; 747-758; 10.2307/2000989
• Ajtai, M. and Kechris, A. S. (1987) The Set of Continuous Functions with the Everywhere Convergent Fourier Series; Transactions of the American Mathematical Society; Vol. 302; No. 1; 207-221; 10.2307/2000906
• Kechris, A. S. and Louveau, A., et el. (1987) The Structure of σ-Ideals of Compact Sets; Transactions of the American Mathematical Society; Vol. 301; No. 1; 263-288; 10.2307/2000338
• Kechris, Alexander S. and Woodin, W. Hugh (1986) Ranks of differentiable functions; Mathematika; Vol. 33; No. 2; 252-278; 10.1112/S0025579300011244
• Kechris, Alexander S. and Solovay, Robert M. (1985) On the Relative Consistency Strength of Determinacy Hypothesis; Transactions of the American Mathematical Society; Vol. 290; No. 1; 179-211; 10.2307/1999790
• Kechris, Alexander S. (1985) Determinacy with Complicated Strategies; Proceedings of the American Mathematical Society; Vol. 94; No. 2; 333-336; 10.1090/S0002-9939-1985-0784188-0
• Kechris, Alexander S. (1984) The Axiom of Determinacy Implies Dependent Choices in L(R); Journal of Symbolic Logic; Vol. 49; No. 1; 161-173
• Kechris, Alexander S. and Woodin, W. Hugh (1983) Equivalence of partition properties and determinacy; Proceedings of the National Academy of Sciences of the United States of America; Vol. 80; No. 6; 1783-1786; PMCID PMC393690
• Kechris, Alexander S. (1981) Forcing with Δ perfect trees and minimal Δ-degrees; Journal of Symbolic Logic; Vol. 46; No. 4; 803-816
• Harrington, Leo A. and Kechris, Alexander S. (1981) On the determinacy of games on ordinals; Annals of Mathematical Logic; Vol. 20; No. 2; 109-154; 10.1016/0003-4843(81)90001-2
• Kechris, Alexander S. (1979) An overview of descriptive set theory; Publications Mathématiques de l'Université Pierre et Marie Curie; Vol. 4
• Kechris, Alexander S. (1978) The Perfect Set Theorem and Definable Wellorderings of the Continuum; Journal of Symbolic Logic; Vol. 43; No. 4; 630-634
• Kechris, Alexander S. (1978) Countable ordinals and the analytical hierarchy, II; Annals of Mathematical Logic; Vol. 15; No. 3; 193-223; 10.1016/0003-4843(78)90010-4
• Kechris, Alexander S. (1978) Minimal Upper Bounds for Sequences of Δ^1_(2n)-Degrees; Journal of Symbolic Logic; Vol. 43; No. 3; 502-507
• Kechris, A. S. and Martin, D. A. (1978) On the theory of ∏_3^1 sets of reals; Bulletin of the American Mathematical Society; Vol. 84; No. 1; 149-151; 10.1090/S0002-9904-1978-14447-4
• Kechris, Alexander S. (1977) On a notion of smallness for subsets of the Baire space; Transactions of the American Mathematical Society; Vol. 229; 191-207
• Kechris, Alexander S. (1977) Classifying Projective-like Hierarchies; Bulletin of the Greek Mathematical Society; Vol. 18; No. 2; 254-275
• Harrington, Leo and Kechris, Alexander S. (1977) ∏^1_2 singletons and O^#; Fundamenta Mathematicae; Vol. 95; No. 3; 167-171
• Harrington, Leo A. and Kechris, Alexander S. (1976) On Monotone vs. Nonmonotone Induction; Bulletin of the American Mathematical Society; Vol. 82; No. 6; 888-890
• Harrington, Leo A. and Kechris, Alexander S. (1975) A Basis Result for Σ^0_3 Sets of Reals with an Application to Minimal Covers; Proceedings of the American Mathematical Society; Vol. 53; No. 2; 445-448
• Kechris, A. S. and Martin, D. A. (1975) A note on universal sets for classes of countable G_δ'S; Mathematika; Vol. 22; No. 1; 43-45; 10.1112/S0025579300004484
• Harrington, Leo A. and Kechris, Alexander S. (1975) On Characterizing Spector Classes; Journal of Symbolic Logic; Vol. 40; No. 1; 19-24
• Kechris, Alexander S. (1975) The Theory of Countable Analytical Sets; Transactions of the American Mathematical Society; Vol. 202; No. 2; 259-297
• Kechris, A. S. (1975) Countable ordinals and the analytical hierarchy, I; Pacific Journal of Mathematics; Vol. 60; No. 1; 223-227
• Kechris, A. S. (1975) Countable ordinals and the analytical hierarchy. I.; Pacific Journal of Mathematics; Vol. 60; No. 1; 223-227
• Kechris, Alexander S. (1974) On Projective Ordinals; Journal of Symbolic Logic; Vol. 39; No. 2; 269-282
• Kechris, Alexander S. (1973) Measure and category in effective descriptive set theory; Annals of Mathematical Logic; Vol. 5; No. 4; 337-384; 10.1016/0003-4843(73)90012-0
• Kechris, Alexander S. and Moschovakis, Yiannis N. (1972) Two theorems about projective sets; Israel Journal of Mathematics; Vol. 12; No. 4; 391-399; 10.1007/BF02764630