Publications: Prof Alexander Gnedin
Gnedin A, Derbazi Z
(
2024
)
.
The last-success stopping problem with random observation times
.
Mathematical Methods of Operations Research1
-
27
.
Derbazi Z, Gnedin A, Marynych A
(
2024
)
.
Records in the Infinite Occupancy Scheme
.
Latin American Journal of Probability and Mathematical Statistics
vol.
21
,
(
2
)
Farber M, Gnedin A, Mannan W
(
2023
)
.
A random graph growth model
.
Bulletin of the London Mathematical Society
Gnedin A, Stark D
(
2023
)
.
Random permutations and queues
.
Advances in Applied Mathematics
vol.
149
,
Article
102549
,
102549
-
102549
.
Gnedin A, Kozieł P, Sulkowska M
(
2022
)
.
Running minimum in the best-choice problem
.
Extremes
vol.
26
,
(
1
)
157
-
182
.
Gnedin A, Derbazi Z
(
2022
)
.
Trapping the Ultimate Success
.
Mathematics
Gnedin A
(
2021
)
.
The best choice problem with random arrivals: how to beat the 1=e-strategy
.
Stochastic Processes and their Applications
Gnedin A, Seksenbayev A
(
2021
)
.
Diffusion approximations in the online increasing subsequence problem
.
Stochastic Processes and their Applications
vol.
139
,
298
-
320
.
Gnedin A
(
2021
)
.
Asymptotics and Renewal Approximation in the Online Selection of Increasing Subsequence
.
Bernoulli: a journal of mathematical statistics and probability
Gnedin A
(
2021
)
.
On sequential selection and a first passage problem for the Poisson process
.
Electronic Communications in Probability
Gnedin A, SEKSENBAYEV A
(
2020
)
.
Diffusion Limits in the Online Subsequence Selection Problems
.
Dagstuhl Reports
vol.
LIPIcs
,
(
Volume 159, AofA 2020
)
Gnedin A, Seksenbayev A
(
2020
)
.
Diffusion Limits in the Online Subsequence Selection Problems
.
Leibniz International Proceedings in Informatics, LIPIcs
.
vol.
159
,
Gnedin A, Iksanov A
(
2020
)
.
On nested infinite occupancy scheme in random environment
.
Probability Theory and Related Fields
GNEDIN A, Gorin V
(
2019
)
.
Spherically symmetric random permutations
.
Random Structures and Algorithms
Gnedin A, Iksanov A, Marynych A, Möhle M
(
2018
)
.
The collision spectrum of Λ-coalescents
.
Annals of Applied Probability
vol.
28
,
(
6
)
3857
-
3883
.
Gnedin AV
(
2016
)
.
Guess the Larger Number
.
Mathematica Applicanda
vol.
44
,
(
1
)
Gnedin A, Iksanov A
(
2016
)
.
Moments of Random Sums and Robbins' Problem of Optimal Stopping
.
Journal of Applied Probability
vol.
48
,
(
4
)
1197
-
1199
.
Gnedin A, Iksanov A, Möhle M
(
2016
)
.
On Asymptotics of Exchangeable Coalescents with Multiple Collisions
.
Journal of Applied Probability
vol.
45
,
(
4
)
1186
-
1195
.
Gnedin AV
(
2016
)
.
On a best-choice problem by dependent criteria
.
Journal of Applied Probability
vol.
31
,
(
1
)
221
-
234
.
Gnedin AV
(
2016
)
.
On convergence and extensions of size-biased permutations
.
Journal of Applied Probability
vol.
35
,
(
3
)
642
-
650
.
Gnedin AV
(
2016
)
.
On the full information best-choice problem
.
Journal of Applied Probability
vol.
33
,
(
3
)
678
-
687
.
Gnedin A, Iksanov A, Marynych A
(
2016
)
.
On Λ-Coalescents with Dust Component
.
Journal of Applied Probability
vol.
48
,
(
4
)
1133
-
1151
.
Gnedin AV
(
2016
)
.
Optimal Stopping with Rank-Dependent Loss
.
Journal of Applied Probability
vol.
44
,
(
4
)
996
-
1011
.
Gnedin AV
(
2016
)
.
Sequential selection of an increasing subsequence from a sample of random size
.
Journal of Applied Probability
vol.
36
,
(
4
)
1074
-
1085
.
Gnedin AV, Miretskiy DI
(
2016
)
.
Winning Rate in the Full-Information Best-Choice Problem
.
Journal of Applied Probability
vol.
44
,
(
2
)
560
-
565
.
Gnedin A, Iksanov A, Marynych A
(
2016
)
.
Λ-coalescents: a survey
.
Journal of Applied Probability
vol.
51
,
(
A
)
23
-
40
.
Gnedin A, Iksanov A, Marynych A, Möhle M
(
2016
)
.
On Asymptotics of the Beta Coalescents
.
Advances in Applied Probability
vol.
46
,
(
2
)
496
-
515
.
Gnedin A, Gorin V
(
2015
)
.
Record-dependent measures on the symmetric groups
.
Random Structures and Algorithms
vol.
46
,
(
4
)
688
-
706
.
Gnedin AV
(
2013
)
.
Stabilization of Euler- Bernoulli Beam by A Boundary Control
.
Results in Mathematics
vol.
22
,
(
1-2
)
528
-
544
.
Gnedin A, Marynych A
(
2012
)
.
Exponential-Uniform Identities Related to Records
.
Electronic Communications in Probability
vol.
17
,
1
-
5
.
Gnedin A, Gorin V
(
2012
)
.
Record-dependent measures on the symmetric groups
.
Dorogovtsev AA, Gnedin AV, Vovchanskii MB
(
2012
)
.
Iterated logarithm law for sizes of clusters in Arratia flow
.
Theory of Stochastic Processes
vol.
18
,
(
2
)
1
-
7
.
Gnedin A, Iksanov A
(
2011
)
.
MOMENTS OF RANDOM SUMS AND ROBBINS' PROBLEM OF OPTIMAL STOPPING
.
JOURNAL OF APPLIED PROBABILITY
vol.
48
,
(
4
)
1197
-
1199
.
Gnedin A, Iksanov A, Marynych A
(
2011
)
.
ON A-COALESCENTS WITH DUST COMPONENT
.
JOURNAL OF APPLIED PROBABILITY
vol.
48
,
(
4
)
1133
-
1151
.
Gnedin A, Iksanov A
(
2011
)
.
Regenerative compositions in the case of slow variation: A renewal
theory approach
.
Gnedin A, Haulk C, Pitman J
(
2011
)
.
Characterizations of exchangeable partitions and random discrete distributions by deletion properties
.
Probability and Mathematical Genetics
,
Cambridge University Press (CUP)
Gnedin A, Gorin V, Kerov S
(
2011
)
.
Block characters of the symmetric groups
.
Journal of Algebraic Combinatorics, 38, no. 1 (2013), 79-101
Gnedin A, Iksanov A
(
2011
)
.
Moments of random sums and Robbins' problem of optimal stopping
.
J. Appl. Probab.
vol.
48
,
1197
-
1199
.
Gnedin A
(
2011
)
.
The Unlucky Door
.
Gnedin A
(
2011
)
.
The Monty Hall Problem in the Game Theory Class
.
Gnedin A
(
2011
)
.
Dominance in the Monty Hall Problem
.
The Mathematical Intelligencer (26 October 2011), pp. 1-8
Gnedin A
(
2011
)
.
The Doors
.
Gnedin A, Iksanov A, Marynych A
(
2011
)
.
A generalization of the Erdős-Turán law for the order of random
permutation
.
Gnedin A
(
2011
)
.
The Monty Hall Problem: Switching is Forced by the Strategic Thinking
.
Gnedin A, Olshanski G
(
2011
)
.
The two-sided infinite extension of the Mallows model for random
permutations
.
Advances in Applied Mathematics 48 (2012), no. 5, 615-639
Gnedin A, Iksanov A, Marynych A
(
2011
)
.
Lambda-coalescents with dust component
.
Gnedin A
(
2011
)
.
Coherent random permutations with biased record statistics
.
DISCRETE MATH
vol.
311
,
(
1
)
80
-
91
.
Gnedin A
(
2011
)
.
Boundaries from Inhomogeneous Bernoulli Trials
.
Progress in Probability
,
vol.
64
,
Gnedin A, Olshanskii G
(
2010
)
.
q-EXCHANGEABILITY VIA QUASI-INVARIANCE
.
ANN PROBAB
vol.
38
,
(
6
)
2103
-
2135
.
Gnedin A, Iksanov A, Marynych A
(
2010
)
.
The Bernoulli sieve: an overview
.
DMTCS Proceedings AM 2010
Gnedin A
(
2010
)
.
A SPECIES SAMPLING MODEL WITH FINITELY MANY TYPES
.
ELECTRON COMMUN PROB
vol.
15
,
79
-
88
.
Gnedin A, Iksanov A, Marynych A
(
2010
)
.
Limit theorems for the number of occupied boxes in the Bernoulli sieve
.
GNEDIN A, Haulk C, Pitman J
(
2010
)
.
Characterizations of exchangeable partitions and random discrete distributions by deletion properties
.
Probability and mathematical genetics
,
vol.
378
,
Cambridge Univ. Press
Gnedin AV
(
2010
)
.
Regeneration in Random Combinatorial Structures
.
Probab. Surv.
vol.
7
,
105
-
156
.
Gnedin A
(
2009
)
.
Boundaries from inhomogeneous Bernoulli trials
.
Gnedin A, Olshanski G
(
2009
)
.
A q-analogue of de Finetti's theorem
.
ELECTRON J COMB
vol.
16
,
(
1
)
Article
R78
,
Barbour AD, Gnedin AV
(
2009
)
.
Small counts in the infinite occupancy scheme
.
ELECTRONIC JOURNAL OF PROBABILITY
vol.
14
,
Article
13
,
365
-
384
.
Gnedin A, Iksanov A, Mohle M
(
2008
)
.
ON ASYMPTOTICS OF EXCHANGEABLE COALESCENTS WITH MULTIPLE COLLISIONS
.
J APPL PROBAB
vol.
45
,
(
4
)
1186
-
1195
.
Gnedin A, Iksanov A, Roesler U
(
2008
)
.
Small parts in the Bernoulli sieve
.
Gnedin A, Pitman J
(
2008
)
.
Moment problems and boundaries of number triangles
.
Gnedin AV, Iksanov AM, Negadajlov P, Rösler U
(
2008
)
.
The Bernoulli sieve revisited
.
Annals of Applied Probability
vol.
19
,
(
4
)
1634
-
1655
.
Gnedin A, Yakubovich Y
(
2007
)
.
On the number of collisions in Lambda-coalescents
.
ELECTRON J PROBAB
vol.
12
,
Article
56
,
1547
-
1567
.
Gnedin A, Pitman J
(
2007
)
.
Poisson representation of a Ewens fragmentation process
.
COMB PROBAB COMPUT
vol.
16
,
(
6
)
819
-
827
.
Gnedin A
(
2007
)
.
Corners and Records of the Poisson Process in Quadrant
.
Dong R, Gnedin A, Pitman J
(
2007
)
.
Exchangeable partitions derived from Markovian coalescents
.
ANN APPL PROBAB
vol.
17
,
(
4
)
1172
-
1201
.
Gnedin AV
(
2007
)
.
Optimal Stopping with Rank-Dependent Loss
.
Gnedin A, Hansen B, Pitman J
(
2007
)
.
Notes on the occupancy problem with infinitely many boxes: general
asymptotics and power laws
.
Probability Surveys
vol.
4
,
(
1
)
6
-
171
.
Gnedin A
(
2007
)
.
Coherent random permutations with record statistics
.
Discrete Mathematics & Theoretical Computer Science
vol.
DMTCS Proceedings vo
,
(
Proceedings
)
Gnedin AV
(
2007
)
.
The chain records
.
Electronic Journal of Probability
vol.
12
,
767
-
786
.
Bogachev LV, Gnedin AV, Yakubovich YV
(
2006
)
.
On the variance of the number of occupied boxes
.
Advances in Applied Mathematics.
vol.
40
,
Gnedin AV
(
2006
)
.
Objectives in the Best-Choice Problems
.
Sequential Analysis
vol.
24
,
(
2
)
177
-
188
.
Gnedin A
(
2006
)
.
Constrained exchangeable partitions
.
Gnedin A, Pitman J, Yor M
(
2006
)
.
Asymptotic laws for regenerative compositions: gamma subordinators and the like
.
PROBAB THEORY REL
vol.
135
,
(
4
)
576
-
602
.
Gnedin A, Pitman J, Yor M
(
2006
)
.
Asymptotic laws for compositions derived from transformed subordinators
.
ANN PROBAB
vol.
34
,
(
2
)
468
-
492
.
Gnedin A, Olshanski G
(
2006
)
.
The boundary of the Eulerian number triangle
.
Moscow Mathematical Journal 6 (2006), no 3, 461-475
Gnedin A
(
2006
)
.
Recognising the Last Record of a Sequence
.
Gnedin A, Pitman J
(
2006
)
.
Moments of convex distribution functions and completely alternating
sequences
.
Vol.
vol.
2
,
30
-
41
.
Gnedin A, Olshanski G
(
2006
)
.
Coherent permutations with descent statistic and the boundary problem for the graph of zigzag diagrams
.
INT MATH RES NOTICES
Article
51968
,
Barbour AD, Gnedin AV
(
2006
)
.
Regenerative compositions in the case of slow variation
.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
vol.
116
,
(
7
)
1012
-
1047
.
Gnedin A, Olshanski G
(
2006
)
.
THE BOUNDARY OF THE EULERIAN NUMBER TRIANGLE
.
MOSCOW MATHEMATICAL JOURNAL
vol.
6
,
(
3
)
460
-
474
.
Gnedin A, Miretskiy D
(
2005
)
.
Winning rate in the full-information best choice problem
.
Gnedin AV, Yakubovich Y
(
2005
)
.
Recursive partition structures
.
Annals of Probability
vol.
34
,
(
6
)
2203
-
2218
.
Gnedin AV
(
2005
)
.
Counting the Chain Records: The Product Case
.
Gnedin A, Nitecki Z
(
2005
)
.
Rank Independence and Rearrangements of Random Variables
.
Gnedin A, Pitman J
(
2005
)
.
Self-similar and Markov composition structures
.
Barbour AD, Gnedin AV
(
2005
)
.
Regenerative Compositions in the Case of Slow Variation
.
Gnedin A, Kerov S
(
2005
)
.
Derangement characters of the finite general linear group
.
ALGEBR REPRESENT TH
vol.
8
,
(
2
)
255
-
274
.
Gnedin A, Pitman J
(
2005
)
.
Regenerative composition structures
.
ANN PROBAB
vol.
33
,
(
2
)
445
-
479
.
Gnedin A, Pitman J
(
2005
)
.
Regenerativ partition structures
.
ELECTRON J COMB
vol.
11
,
(
2
)
Article
R12
,
Gnedin A, Pitman J
(
2005
)
.
Regenerative Partition Structures
.
The Electronic Journal of Combinatorics
vol.
11
,
(
2
)
Gnedin A, Pitman J
(
2004
)
.
Exchangeable Gibbs partitions and Stirling triangles
.
Gnedin A, Pitman J, Yor M
(
2004
)
.
Asymptotic laws for compositions derived from transformed subordinators
.
Annals of Probability
vol.
34
,
(
2
)
468
-
492
.
Bertoin J, Gnedin A
(
2004
)
.
Asymptotic laws for nonconservative self-similar fragmentations
.
Gnedin A
(
2004
)
.
Regenerative composition structures: Characterisation and asymptotics of block counts
.
MATHEMATICS AND COMPUTER SCIENCE III: ALGORITHMS, TREES, COMBINATORICS AND PROBABILITIES
.
Editors:
Drmota, M, Flajolet, P, Gardy, D, Gittenberger, B et al.
,
441
-
443
.
Gnedin A, Pitman J
(
2003
)
.
Regenerative Composition Structures
.
Gnedin A
(
2003
)
.
Bernoulli Sieve
.
Algebr. Geom. Topol.
vol.
3
,
147
-
154
.
Gnedin A
(
2002
)
.
Three Sampling Formulas
.
Gnedin A
(
2002
)
.
Best Choice from the Planar Poisson Process
.
Gnedin A, Kerov S
(
2002
)
.
Fibonacci solitaire
.
RANDOM STRUCT ALGOR
vol.
20
,
(
1
)
71
-
88
.
Baryshnikov Y, Gnedin A
(
2001
)
.
Counting intervals in the packing process
.
ANN APPL PROBAB
vol.
11
,
(
3
)
863
-
877
.
Gnedin A, Kerov S
(
2001
)
.
A characterization of GEM distributions
.
COMB PROBAB COMPUT
vol.
10
,
(
3
)
213
-
217
.
Gnedin A, Kerov S
(
2000
)
.
The Plancherel measure of the Young-Fibonacci graph
.
MATH PROC CAMBRIDGE
vol.
129
,
433
-
446
.
Gnedin AV
(
2000
)
.
A Note on Sequential Selection from Permutations
.
Combinatorics Probability and Computing
vol.
9
,
(
1
)
13
-
17
.
Baryshnikov YM, Gnedin AV
(
2000
)
.
Sequential selection of an increasing sequence from a multidimensional random sample
.
Annals of Applied Probability
vol.
10
,
(
1
)
258
-
267
.
Gnedin A
(
2000
)
.
Sequential selection of an increasing subsequence from a random sample with geometrically distributed sample-size
.
Game theory, optimal stopping, probability and statistics
,
Institute of Mathematical Statistics
Gnedin AV
(
1999
)
.
Sequential selection of an increasing subsequence from a sample of random size
.
Journal of Applied Probability
vol.
36
,
(
4
)
1074
-
1085
.
Gnedin AV
(
1998
)
.
On the Poisson-Dirichlet Limit
.
Journal of Multivariate Analysis
vol.
67
,
(
1
)
90
-
98
.
Gnedin AV
(
1998
)
.
Records from a multivariate normal sample
.
Statistics and Probability Letters
vol.
39
,
(
1
)
11
-
15
.
Gnedin AV
(
1998
)
.
On convergence and extensions of size-biased permutations
.
Journal of Applied Probability
vol.
35
,
(
3
)
642
-
650
.
Gnedin AV
(
1997
)
.
The representation of composition structures
.
Annals of Probability
vol.
25
,
(
3
)
1437
-
1450
.
Gnedin AV
(
1996
)
.
On a class of exchangeable sequences
.
Statistics and Probability Letters
vol.
28
,
(
2
)
159
-
164
.
Gnedin AV
(
1996
)
.
On the full information best-choice problem
.
Journal of Applied Probability
vol.
33
,
(
3
)
678
-
687
.
Gnedin AV, Krengel U
(
1996
)
.
Optimal selection problems based on exchangeable trials
.
Annals of Applied Probability
vol.
6
,
(
3
)
862
-
882
.
Gnedin AV, Krengel U
(
1995
)
.
A Stochastic Game of Optimal Stopping and Order Selection
.
The Annals of Applied Probability
vol.
5
,
(
1
)
310
-
321
.
Gnedin AV
(
1995
)
.
On a class of exchangeable sequences
.
Statistics and Probability Letters
vol.
25
,
(
4
)
351
-
355
.
Gnedin AV
(
1994
)
.
A Solution to the Game of Googol
.
The Annals of Probability
vol.
22
,
(
3
)
1588
-
1595
.
Gnedin AV
(
1994
)
.
Conical Extremes of a Multivariate Sample
.
Journal of Research of the National Institute of Standards and Technology
vol.
99
,
(
4
)
511
-
519
.
Gnedin AV
(
1993
)
.
On multivariate extremal processes
.
Journal of Multivariate Analysis
vol.
46
,
(
2
)
207
-
213
.
Gnedin AV
(
1992
)
.
Multicriteria extensions of the best choice problem: sequential selection without linear order
.
Strategies for Sequential Search and Selection in Real Time
,
vol.
125
,
American Mathematical Society (AMS)
Gnedin AV
(
1992
)
.
On Modeling and Stabilization of Flexible Beams
.
Operations Research ’91
,
Springer Nature
Gnedin AV, Sakaguchi M
(
1992
)
.
On a best choice problem related to the Poisson process
.
Strategies for Sequential Search and Selection in Real Time
,
vol.
125
,
American Mathematical Society (AMS)
UNBEHAUEN H, GNEDIN A
(
1992
)
.
STABILIZATION OF MULTILINK FLEXIBLE BEAMS
.
PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4
.
2992
-
2996
.
Gnedin AA
(
1989
)
.
Evaluating the heat resistance of magnet wires operating in liquid media
.
Soviet electrical engineering
vol.
60
,
(
1
)
49
-
54
.
Gnedin AV, Yaralov AA
(
1989
)
.
Identifiability of parameter-dependent systems
.
Automation and Remote Control
vol.
49
,
(
9 pt 1
)
1145
-
1153
.
Gnedin AA, Meshchanov GI
(
1986
)
.
MAGNET WIRE WITH FILM INSULATION FOR SUBMERSIBLE ELECTRIC MOTORS OF OIL-PRODUCTION PUMPS
.
Soviet electrical engineering
vol.
57
,
(
ll
)
Berezovskiy BA, Baryshnikov YM, Gnedin AV
(
1986
)
.
On a class of best-choice problems
.
Information Sciences
vol.
39
,
(
1
)
111
-
127
.
Baryshnikov YM, Berezovskii BA, Gnedin AV
(
1984
)
.
PROBABILITY OF STOPPING AT A NONDOMINATED OPTION
.
Automation and Remote Control
vol.
45
,
(
10 pt 2
)
1354
-
1359
.
Gnedin AV
(
1981
)
.
MULTICRITERIAL PROBLEM OF OPTIMUM STOPPING OF THE SELECTION PROCESS
.
Automation and Remote Control
vol.
42
,
(
7 pt 2
)
981
-
986
.
Berezovskii BA, Gnedin AV
(
1981
)
.
THEORY OF CHOICE AND THE PROBLEM OF OPTIMAL STOPPING AT THE BEST ENTITY
.
Automation and Remote Control
vol.
42
,
(
9 pt 2
)
1221
-
1225
.