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people:kargin:kargin_publications [2026/01/08 13:05]
kargin
people:kargin:kargin_publications [2026/01/24 18:50] (current)
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-=====  Vladislav Kargin'​s Published Papers ​ =====+=====Vladislav Kargin'​s Published Papers ​======
  
-Papers related to random matrices are marked :-D Papers on free probability are ♥+Papers related to random matrices are marked :-D 
 +Papers on free probability are ♥
  
  
-The smallest singular value of large random rectangular Toeplitz and circulant matrices \\ +===== 2026 =====
-(Joint with A. Onatski) \\ +
-//Electron. J. Probab. 31: 1-30 (2026).  +
-//*DOI: [[https://​doi.org/​10.1214/​25-EJP1462]]*/​ +
-//+
  
 +  * **The smallest singular value of large random rectangular Toeplitz and circulant matrices** :-D\\
 +(joint with A. Onatski)\\
 +//​Electronic Journal of Probability//​ **31** (2026), #2 1–30.\\
 +[[https://​doi.org/​10.1214/​25-EJP1462|DOI:​ 10.1214/​25-EJP1462]]
  
  
-{{people:​kargin:​publications:​ribbon_tilings_april_2025-final.pdf|Journal Version}} +===== 2025 =====
-An upper bound on the per-tile entropy of ribbon tilings\\ +
-(Joint with S.R.Blackburn and Y. Chen)\\ +
-//​Combinatorial Theory, (2025), accepted  +
-/*DOI: [[https://​doi.org/​10.3150/​23-BEJ1691|10.3150/​23-BEJ1691]]*/​ +
-//+
  
 +  * **An upper bound on the per-tile entropy of ribbon tilings**\\
 +(joint with S. R. Blackburn and Y. Chen)\\
 +//​Combinatorial Theory// **5** (2025), #14 1-10 \\
 +{{people:​kargin:​publications:​ribbon_tilings_april_2025-final.pdf|PDF (journal version)}}\\
 +[[https://​doi.org/​10.5070/​C65365562|DOI:​10.5070/​C65365562]]
  
-{{people:​kargin:​publications:​bej1691.pdf|Journal Version}} 
-On the joint distribution of the area and the number of peaks for Bernoulli excursions\\ 
-//​Bernoulli,​ (2024), v.30, 2700--2720 ​ 
-/*DOI: [[https://​doi.org/​10.3150/​23-BEJ1691|10.3150/​23-BEJ1691]]*/​ 
-// 
  
-{{people:​kargin:​publications:​slimtrees_journal.pdf|Journal Version}} +===== 2024 =====
-Scaling limits of slim and fat trees \\ +
-//Journal of Theoretical Probability,​ (2023), v.36, 2192--2228  +
-/*DOI: [[https://​doi.org/​10.1007/​s10959-023-01261-w|10.1007/​s10959-023-01261-w]]*/​ +
-//+
  
 +  * **On the joint distribution of the area and the number of peaks for Bernoulli excursions**\\
 +//​Bernoulli//​ **30** (2024), 2700–2720.\\
 +{{people:​kargin:​publications:​bej1691.pdf|PDF (journal version)}}\\
 +[[https://​doi.org/​10.3150/​23-BEJ1691|DOI:​ 10.3150/​23-BEJ1691]]
  
-{{https://​arxiv.org/​abs/​2307.00767|arXiv Version}} and {{https://​doi.org/​10.1016/​j.dam.2023.06.045|Link to the Journal version (behind a paywall)}} \\ 
-The number of ribbon tilings for strips \\ 
-(Joint with Y. Chen)\\ 
-//Discrete Applied Mathematics,​ v. 340, (2023), 85--103// 
  
-{{people:​kargin:​publications:​paperribtiling12.pdf|Journal Version}} +===== 2023 =====
-On enumeration and entropy of ribbon tilings \\ +
-(Joint with Y. Chen)\\ +
-//​Electronic Journal of Combinatorics,​ v. 30(2), (2023), P2.15//+
  
 +  * **Scaling limits of slim and fat trees**\\
 +//Journal of Theoretical Probability//​ **36** (2023), 2192–2228.\\
 +{{people:​kargin:​publications:​slimtrees_journal.pdf|PDF (journal version)}}\\
 +[[https://​doi.org/​10.1007/​s10959-023-01261-w|DOI:​ 10.1007/​s10959-023-01261-w]]
  
-{{people:​kargin:​publications:​kargin2020_article_cyclesinrandommeandersystems.pdf|Journal Version}} +  * **The number of ribbon tilings for strips**\\ 
-Cycles in random meander systems\\ +(joint with Y. Chen)\\ 
-//Journal of Statistical Physics, v. 181, (2020), pp2322-2345// +//Discrete Applied Mathematics//​ **340** ​(2023), 85–103.\\ 
-/*[[http://​arxiv.org/​abs/​1503.00339|arxiv version]]*/+[[https://​arxiv.org/​abs/​2307.00767|arXiv: 2307.00767]] · [[https://​doi.org/​10.1016/​j.dam.2023.06.045|Journal link (paywall)]]
  
 +  * **On enumeration and entropy of ribbon tilings**\\
 +(joint with Y. Chen)\\
 +//​Electronic Journal of Combinatorics//​ **30**(2) (2023), P2.15.\\
 +{{people:​kargin:​publications:​paperribtiling12.pdf|PDF (journal version)}}
  
-{{people:​kargin:​publications:​point_fields_journal_version.pdf|Journal Version}} 
-A 3D Ginibre point field \\ 
-//Journal of Statistical Physics, v. 171, (2018), pp. 1067-1095// 
-/​*[[http://​arxiv.org/​abs/​1503.00339|arxiv version]]*/ 
  
 +===== 2020 =====
  
-{{people:​kargin:​publications:​kargin16_russian_words.pdf|Journal Version}} +  * **Cycles in random meander systems**\\ 
-On variation of word frequencies in Russian literary texts \\ +//Journal of Statistical Physics// **181** (2020), 2322–2345.\\ 
-//Physica A: Statistical Mechanics and its Applications,​ v. 445, (2016), pp. 328-334// +{{people:​kargin:​publications:​kargin2020_article_cyclesinrandommeandersystems.pdf|PDF (journal version)}}\\ 
-/*[[http://​arxiv.org/​abs/​1503.00339|arxiv version]]*/+[[https://​arxiv.org/​abs/​2011.13449|arXiv: 2011.13449]]
  
  
-{{people:​kargin:​publications:​kargin15_linear_statistics.pdf|Journal Version}}:​-D +===== 2018 =====
-/​*[[http://​arxiv.org/​abs/​1407.4743|/​ arxiv version]] */ +
-Limit theorems for linear eigenvalue statistics of overlapping matrices \\ +
-//​Electronic Journal of Probability,​ v.20, (2015), article 121, pp.1 – 30.//+
  
-{{people:​kargin:​publications:​kargin15_regression.pdf|Journal Version}}:-D +  * **A 3D Ginibre point field**\\ 
-/*[[http://​arxiv.org/​abs/​1409.6779|/arxiv version]]*/ +//Journal of Statistical Physics// **171** (2018), 1067–1095.\\ 
-On estimation in the reduced-rank regression with a large number of responses and predictors \\ +{{people:​kargin:​publications:​point_fields_journal_version.pdf|PDF (journal version)}}\\ 
-//Journal of Multivariate Analysis, v. 140, (2015), pp.377-394. // +[[https://​arxiv.org/​abs/​1705.03118|arXiv: 1705.03118]]
  
-{{people:​kargin:​publications:​kargin15_subordination.pdf|Journal Version}}:​-D  ​ 
-/​*[[http://​arxiv.org/​abs/​1109.5818|arxiv:​1109.5818]]*/​ 
-Subordination of the resolvent for a sum of random matrices \\ 
-//Annals of Probability,​ v. 43, (2015), pp.2119-2150.//​ 
  
-{{people:​kargin:​publications:​kargin14_lyapunov.pdf|Journal Version}}:​-D ​  +===== 2016 =====
-/​*[[http://​arxiv.org/​abs/​1306.6576|arxiv:​1306.6576]] */ +
-On the largest Lyapunov exponent ​ for products of Gaussian matrices \\ +
-//Journal of Statistical Physics, v.157 (2014) pp.70-83//+
  
-{{people:​kargin:​publications:​kargin14_zeta.pdf|Journal Version}}  +  * **On variation of word frequencies in Russian literary texts**\\ 
-/*[[http://​arxiv.org/​abs/​1302.1452|arxiv:1302.1452]]*/ +//Physica A: Statistical Mechanics and its Applications//​ **445** (2016), 328–334.\\ 
-Statistical properties of zeta functions'​ zeros \\ +{{people:​kargin:​publications:​kargin16_russian_words.pdf|PDF (journal version)}}\\ 
-//​Probability Surveys, v.11 (2014) pp.121-160//​+[[http://​arxiv.org/​abs/​1503.00339|arXiv1503.00339]]
  
-{{people:​kargin:​publications:​kargin14_pfaffian.pdf|Journal Version}} ​ 
-/​*[[http://​arxiv.org/​abs/​1210.6603|arxiv:​1210.6603]]*/​ 
-On Pfaffian random point fields \\ 
-//Journal of Statistical Physics, v.154 (2014) pp.681-704//​ 
  
-{{people:​kargin:​publications:​kargin13_distance.pdf|Journal Version}}♥ +===== 2015 =====
-/​*[[http://​arxiv.org/​abs/​1107.0477|arxiv:​1107/​0477]]*/​  +
-An inequality for the distance between densities of free convolutions \\ +
-//Annals of Probability,​ v.41 (2013) pp.3241-3260 //  ​+
  
-{{people:​kargin:​publications:​kargin13_zeta_fluctuations.pdf|Journal Version}} +  * **Limit theorems for linear eigenvalue statistics of overlapping matrices** :-D\\ 
-/*[[http://​arxiv.org/​abs/​1203.5309|arxiv:1203.5309]]*/ +//​Electronic Journal of Probability//​ **20** (2015), Art. 121, 1–30.\\ 
-On fluctuations of Riemann'​s zeta zeros \\ +{{people:​kargin:​publications:​kargin15_linear_statistics.pdf|PDF (journal version)}}\\ 
-//​Probability Theory and Related Fields, v.157 (2013) pp.575-604//​+[[http://​arxiv.org/​abs/​1407.4743|arXiv1407.4743]]
  
-{{people:​kargin:​publications:​kargin12_local_law.pdf|Journal Version}}:-D +  * **On estimation in the reduced-rank regression with a large number of responses and predictors** :-D\\ 
-/*[[http://​arxiv.org/​abs/​1010.0353|arxiv:1010.0353]] */ +//Journal of Multivariate Analysis// **140** (2015), 377–394.\\ 
-A concentration inequality and a local law for the sum of two random matrices \\ +{{people:​kargin:​publications:​kargin15_regression.pdf|PDF (journal version)}}\\ 
-//​Probability Theory and Related Fields, v.154 (2012) pp.677-702//​+[[http://​arxiv.org/​abs/​1409.6779|arXiv1409.6779]]
  
 +  * **Subordination of the resolvent for a sum of random matrices** :-D\\
 +//Annals of Probability//​ **43** (2015), 2119–2150.\\
 +{{people:​kargin:​publications:​kargin15_subordination.pdf|PDF (journal version)}}\\
 +[[http://​arxiv.org/​abs/​1109.5818|arXiv:​ 1109.5818]]
  
-{{people:​kargin:​publications:​kargin12_two_projections.pdf|Journal Version}}:​-D 
-/​*[[http://​arxiv.org/​abs/​1205.0993|arxiv:​1205.0993]]*/ ​ 
-On eigenvalues of the sum of two random projections \\ 
-//Journal of Statistical Physics, v.149 (2012) pp.246-258//​ 
  
 +===== 2014 =====
  
-{{people:​kargin:​publications:​kargin11_sde.pdf|Journal Version}}♥ +  * **On the largest Lyapunov exponent for products of Gaussian matrices** :-D\\ 
-/*[[http://​arxiv.org/​abs/​1101.2697|arxiv:1101.2697]] */ +//Journal of Statistical Physics// **157** (2014), 70–83.\\ 
-On free stochastic differential equations \\ +{{people:​kargin:​publications:​kargin14_lyapunov.pdf|PDF (journal version)}}\\ 
-//Journal of Theoretical Probability,​ v.24 (2011) pp.821-848// ​+[[http://​arxiv.org/​abs/​1306.6576|arXiv1306.6576]]
  
-{{people:​kargin:​publications:​kargin11_relaxation_monotone.pdf|Journal Version}} +  * **Statistical properties of zeta functions'​ zeros**\\ 
-/*[[http://​arxiv.org/​abs/​1103.0327|arxiv:1103.0327]]*/  +//​Probability Surveys// **11** (2014), 121–160.\\ 
-Relaxation time is monotone in temperature in the mean-field Ising model \\ +{{people:​kargin:​publications:​kargin14_zeta.pdf|PDF (journal version)}}\\ 
-//​Statistics and Probability Letters, v.81 (2011) pp.1094-1097//​+[[http://​arxiv.org/​abs/​1302.1452|arXiv1302.1452]]
  
 +  * **On Pfaffian random point fields**\\
 +//Journal of Statistical Physics// **154** (2014), 681–704.\\
 +{{people:​kargin:​publications:​kargin14_pfaffian.pdf|PDF (journal version)}}\\
 +[[http://​arxiv.org/​abs/​1210.6603|arXiv:​ 1210.6603]]
  
-{{people:​kargin:​publications:​kargin10_free_processes.pdf|Journal Version}}♥ 
-/​*[[http://​arxiv.org/​abs/​0903.2672|arxiv:​0903.2672]]*/​ 
-Free point processes and free extreme values (Joint with G. Ben Arous)\\ 
-//​Probability Theory and Related Fields, v.147 (2010) pp.161-183//​ 
  
-{{people:​kargin:​publications:​kargin10_quantum_mixing.pdf|Journal Version}} +===== 2013 =====
-/​*[[http://​arxiv.org/​abs/​1004.0188|arxiv:​1004.0188]]*/​  +
-Bounds for mixing time of quantum walks on finite graphs \\ +
-//Journal of Physics A: Math. and Theor., v.43 (2010) 335302// ​+
  
-{{people:​kargin:​publications:​kargin10_quantum_walk.pdf|Journal Version}} +  * **An inequality for the distance between densities of free convolutions** ♥\\ 
-/*[[http://​arxiv.org/​abs/​0912.0232|arxiv:0912.0232]] */ +//Annals of Probability//​ **41** (2013), 3241–3260.\\ 
-Continuous-time quantum walk on integer lattices and homogeneous trees \\ +{{people:​kargin:​publications:​kargin13_distance.pdf|PDF (journal version)}}\\ 
-//Journal of Statistical Physics, v.140 (2010) pp.393-408//​+[[http://​arxiv.org/​abs/​1107.0477|arXiv1107.0477]]
  
-{{people:​kargin:​publications:​kargin10_matrix_products.pdf|Journal Version}}:-D +  * **On fluctuations of Riemann'​s zeta zeros**\\ 
-/*[[http://​arxiv.org/​abs/​0903.0632|arxiv:0903.0632]]*/  +//​Probability Theory and Related Fields// **157** (2013), 575–604.\\ 
-Products of random matrices: Dimension and growth in norm \\ +{{people:​kargin:​publications:​kargin13_zeta_fluctuations.pdf|PDF (journal version)}}\\ 
-//Annals of Applied Probability ​ v.20 (2010) pp.890-906// ​+[[http://​arxiv.org/​abs/​1203.5309|arXiv1203.5309]]
  
-{{people:​kargin:​publications:​kargin09_toeplitz.pdf|Journal Version}}:​-D ​ 
-Spectrum of random Toeplitz matrices with band structure \\ 
-//​Electronic Communications in Probability v.14 (2009) pp.412-423//​ 
  
 +===== 2012 =====
  
-[[http://www.prismnet.com/~slava/papers/​banterm_final%20journal%20version.pdf|Journal Version]]  +  * **A concentration inequality and a local law for the sum of two random matrices** ​:-D\\ 
-Curve forecasting by functional autoregression ​(Joint with A. Onatski)\\ +//Probability Theory and Related Fields// **154** (2012), 677–702.\\ 
-//Journal of Multivariate Analysis, v.99, (2008) pp.2508-2526//+{{people:​kargin:​publications:​kargin12_local_law.pdf|PDF (journal version)}}\\ 
 +[[http://arxiv.org/abs/1010.0353|arXiv:​ 1010.0353]]
  
 +  * **On eigenvalues of the sum of two random projections** :-D\\
 +//Journal of Statistical Physics// **149** (2012), 246–258.\\
 +{{people:​kargin:​publications:​kargin12_two_projections.pdf|PDF (journal version)}}\\
 +[[http://​arxiv.org/​abs/​1205.0993|arXiv:​ 1205.0993]]
  
-{{people:​kargin:​publications:​kargin08_lyapunov.pdf|Journal Version}}♥ 
-/​*[[http://​arxiv.org/​abs/​0712.1378|arxiv:​0712.1378]]*/​ 
-Lyapunov exponents of free operators \\ 
-//Journal of Functional Analysis, v.255 (2008) pp.1874-1888//​ 
  
-{{people:​kargin:​publications:​kargin08_products_unitary.pdf|Journal Version}}♥ +===== 2011 =====
-/​*[[http://​arxiv.org/​abs/​0805.0374|arxiv:​0805.0374]] */ +
-A limit theorem for products of free unitary operators \\ +
-//​Probability Theory and Related Fields, v.141 (2008) pp.603-623//​+
  
-{{people:​kargin:​publications:​kargin08_convolutions.pdf|Journal Version}}♥  +  * **On free stochastic differential equations** ♥\\ 
-On the asymptotic growth of the support of free multiplicative convolutions ​\\ +//Journal of Theoretical Probability//​ **24** (2011), 821–848.\\ 
-//Electronic Communications in Probability,​ v.13 (2008) pp.415-421//+{{people:​kargin:​publications:​kargin11_sde.pdf|PDF (journal version)}}\\ 
 +[[http://arxiv.org/abs/1101.2697|arXiv:​ 1101.2697]]
  
-{{people:​kargin:​publications:​kargin08_quantum_games.pdf|Journal Version}}   +  * **Relaxation time is monotone in temperature in the mean-field Ising model**\\ 
-/*[[http://www.prismnet.com/~slava/papers/​quantgame21.pdfPreliminary version]] */ +//​Statistics and Probability Letters// **81** (2011), 1094–1097.\\ 
-Coordination Games with  Quantum Correlations \\ +{{people:​kargin:​publications:​kargin11_relaxation_monotone.pdf|PDF (journal version)}}\\ 
-//​International Journal of Game Theory, 2008, 37, 211-218//+[[http://arxiv.org/abs/1103.0327|arXiv: 1103.0327]]
  
-{{people:​kargin:​publications:​kargin07_norm_products.pdf|Journal Version}}♥ 
-/​*[[http://​arxiv.org/​abs/​math/​0611593|arxiv:​math/​0611593]] */ 
-The norm of products of free random variables \\ 
-//​Probability Theory and Related Fields, v.139 (2007) pp. 397-413// 
  
-{{people:​kargin:​publications:​kargin07_lindeberg.pdf|Journal Version}}♥ +===== 2010 =====
-/​*[[http://​arxiv.org/​abs/​math/​0703345|arxiv:​math/​0703345]] */ +
-A proof of a non-commutative central limit theorem by the Lindeberg method \\ +
-//​Electronic Communications in Probability,​ v.12 (2007) pp.36-50//+
  
-{{people:​kargin:​publications:​kargin07_berry-esseen.pdf|Journal Version}}♥ +  * **Free point processes and free extreme values** ♥\\ 
-/*[[http://​arxiv.org/​abs/​math.PR/0610072|arxive:math.PR/0610072]] */ +(joint with G. Ben Arous)\\ 
-Berry-Esseen for free random variables \\ +//​Probability Theory and Related Fields// **147** (2010), 161–183.\\ 
-//Journal of Theoretical Probability, ​ v.20 (2007) pp.381-395//​ \\ +{{people:​kargin:​publications:​kargin10_free_processes.pdf|PDF (journal version)}}\\ 
-/*[Comment: This paper has a mistake.The solution is given by series in (10) with coefficients in (11).  +[[http://​arxiv.org/​abs/​0903.2672|arXiv0903.2672]]
-If the series is convergent for $t = 1$, then it gives a genuine solution. However, it is not clear  why this holds if $\phi_n$ can take a value zero next to $G_\Phi$. See instead Theorem 2.4 in Chistyakov, G.P., Götze, F.: Limit theorems in free probability theory, I. Ann. Probab. 36, 54–90 (2008)]*/+
  
-{{people:​kargin:​publications:​kargin07_superconvergence.pdf|Journal Version}}♥ +  * **Bounds for mixing time of quantum walks on finite graphs**\\ 
-/*[[http://​arxiv.org/​abs/​math.PR/0610075|math.PR/0610075]] */ +//Journal of Physics A: Mathematical and Theoretical//​ **43** (2010), 335302.\\ 
-On superconvergence of  convolutions of free random variables \\ +{{people:​kargin:​publications:​kargin10_quantum_mixing.pdf|PDF (journal version)}}\\ 
-//Annals of Probability,​ v.35 (2007) pp. 1931-1949//+[[http://​arxiv.org/​abs/​1004.0188|arXiv: 1004.0188]]
  
-{{people:​kargin:​publications:​kargin07_markov_chains.pdf|Journal Version}} +  * **Continuous-time quantum walk on integer lattices and homogeneous trees**\\ 
-/*[[http://​arxiv.org/​abs/​math/​0508538|arxiv:​0508538]] */ +//Journal of Statistical Physics// **140** (2010), 393–408.\\ 
-A large deviation inequality for vector functions on finite reversible Markov chains\\ +{{people:​kargin:​publications:​kargin10_quantum_walk.pdf|PDF (journal version)}}\\ 
-//Annals of Applied Probability, ​ v.17 (2007) pp.1202-1221//​\\ +[[http://​arxiv.org/​abs/​0912.0232|arXiv: ​0912.0232]]
-[Comment: In the process of revising, simplifying,​ and improving the paper, an error was introduced in the proof of the main theorem, which unfortunately entered the published version. The difficulty is that "Lemma 8 assumes ​|u|<1, and it is used to bound <u, f(s)> in the proof. But the following derivation (in the middle on page 1210) applies the bound given by Lemma 8 to every u in the integral (with respect to the gaussian distributed u)." The gap appears to be genuine and I hope that it can be partially remedied by the first arXiv version, which has the original, correct proof of the result, - but which, unfortunately,​ lacks further editorial improvements and corrections +
-{{people:​kargin:​bernsteinpaperarxivv1.pdf|arxiv v1 paper}}]+
  
-{{people:​kargin:​publications:​aos299.pdf|Journal Version}} +  * **Products of random matrices: Dimension and growth in norm** :-D\\ 
-On the Chernoff bound for efficiency of quantum hypothesis testing ​\\ +//Annals of Applied Probability//​ **20** (2010), 890–906.\\ 
-//Annals of Statistics, v33 (2005) pp.959-976//+{{people:​kargin:​publications:​kargin10_matrix_products.pdf|PDF (journal version)}}\\ 
 +[[http://arxiv.org/abs/0903.0632|arXiv:​ 0903.0632]]
  
  
-{{people:​kargin:​publications:​635-647_.mafi_254.pdf|Journal Proof Version}} +===== 2009 =====
-Lattice Option Pricing by Multidimensional Interpolation \\ +
-//​Mathematical Finance, 2005, 15, 635-647//+
  
-{{people:​kargin:​publications:​00068.pdf|Journal Proof Version}} +  * **Spectrum of random Toeplitz matrices with band structure** :-D\\ 
-Uncertainty of the Shapley Value \\ +//​Electronic Communications in Probability//​ **14** (2009), 412–423.\\ 
-//​International Game Theory Review, 2005, 7(4), 517-529//+{{people:​kargin:​publications:​kargin09_toeplitz.pdf|PDF (journal version)}}
  
-{{people:​kargin:​publications:​com_proof.pdf|Journal Proof Version}} 
-Prevention of Herding by Experts \\ 
-//Economics Letters, 2003, 78(3), 401-407// 
  
-{{people:​kargin:​publications:​kargin2002_optimal_asset_allocation.pdf|ArXiv Version}} +===== 2008 =====
-Optimal Asset Allocation with Asymptotic Criteria \\ +
-//IJTAF, 2003, 6(6), 593-604//+
  
-{{people:​kargin:​publications:​kargin2002_value_investing_in_emerging_markets.pdf|Journal Proof Version}} +  * **Curve forecasting by functional autoregression**\\ 
-Value Investing in Emerging Markets: Risks and Benefits ​\\ +(joint with A. Onatski)\\ 
-//Emerging Markets Review, 2002, 3(3), 233-244 ​//+//Journal of Multivariate Analysis// **99** ​(2008), 2508–2526.\\ 
 +[[http://www.prismnet.com/​~slava/​papers/​banterm_final%20journal%20version.pdf|PDF (journal version)]]
  
 +  * **Lyapunov exponents of free operators** ♥\\
 +//Journal of Functional Analysis// **255** (2008), 1874–1888.\\
 +{{people:​kargin:​publications:​kargin08_lyapunov.pdf|PDF (journal version)}}\\
 +[[http://​arxiv.org/​abs/​0712.1378|arXiv:​ 0712.1378]]
  
- +  * **A limit theorem for products of free unitary operators** ♥\\ 
 +//​Probability Theory and Related Fields// **141** (2008), 603–623.\\ 
 +{{people:​kargin:​publications:​kargin08_products_unitary.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​0805.0374|arXiv:​ 0805.0374]] 
 + 
 +  * **On the asymptotic growth of the support of free multiplicative convolutions** ♥\\ 
 +//​Electronic Communications in Probability//​ **13** (2008), 415–421.\\ 
 +{{people:​kargin:​publications:​kargin08_convolutions.pdf|PDF (journal version)}} 
 + 
 +  * **Coordination Games with Quantum Correlations**\\ 
 +//​International Journal of Game Theory// **37** (2008), 211–218.\\ 
 +{{people:​kargin:​publications:​kargin08_quantum_games.pdf|PDF (journal version)}}\\ 
 +[[http://​www.prismnet.com/​~slava/​papers/​quantgame21.pdf|Preliminary version]] 
 + 
 + 
 +===== 2007 ===== 
 + 
 +  * **The norm of products of free random variables** ♥\\ 
 +//​Probability Theory and Related Fields// **139** (2007), 397–413.\\ 
 +{{people:​kargin:​publications:​kargin07_norm_products.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​math/​0611593|arXiv:​ math/​0611593]] 
 + 
 +  * **A proof of a non-commutative central limit theorem by the Lindeberg method** ♥\\ 
 +//​Electronic Communications in Probability//​ **12** (2007), 36–50.\\ 
 +{{people:​kargin:​publications:​kargin07_lindeberg.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​math/​0703345|arXiv:​ math/​0703345]] 
 + 
 +  * **Berry-Esseen for free random variables** ♥\\ 
 +//Journal of Theoretical Probability//​ **20** (2007), 381–395.\\ 
 +{{people:​kargin:​publications:​kargin07_berry-esseen.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​math.PR/​0610072|arXiv:​ math.PR/​0610072]]\\ 
 +Comment: this paper has a mistake; see Theorem 2.4 in Chistyakov–Götze (Ann. Probab. 36 (2008), 54–90). 
 + 
 +  * **On superconvergence of convolutions of free random variables** ♥\\ 
 +//Annals of Probability//​ **35** (2007), 1931–1949.\\ 
 +{{people:​kargin:​publications:​kargin07_superconvergence.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​math.PR/​0610075|arXiv:​ math.PR/​0610075]] 
 + 
 +  * **A large deviation inequality for vector functions on finite reversible Markov chains**\\ 
 +//Annals of Applied Probability//​ **17** (2007), 1202–1221.\\ 
 +{{people:​kargin:​publications:​kargin07_markov_chains.pdf|PDF (journal version)}}\\ 
 +[[http://​arxiv.org/​abs/​math/​0508538|arXiv:​ 0508538]]\\ 
 +Comment: published version contains a gap; the original correct proof is in {{people:​kargin:​bernsteinpaperarxivv1.pdf|arXiv v1 (PDF)}}. 
 + 
 + 
 +===== 2005 ===== 
 + 
 +  * **On the Chernoff bound for efficiency of quantum hypothesis testing**\\ 
 +//Annals of Statistics//​ **33** (2005), 959–976.\\ 
 +{{people:​kargin:​publications:​aos299.pdf|PDF (journal version)}} 
 + 
 +  * **Lattice Option Pricing by Multidimensional Interpolation**\\ 
 +//​Mathematical Finance// **15** (2005), 635–647.\\ 
 +{{people:​kargin:​publications:​635-647_.mafi_254.pdf|PDF (journal proof version)}} 
 + 
 +  * **Uncertainty of the Shapley Value**\\ 
 +//​International Game Theory Review// **7**(4) (2005), 517–529.\\ 
 +{{people:​kargin:​publications:​00068.pdf|PDF (journal proof version)}} 
 + 
 + 
 +===== 2003 ===== 
 + 
 +  * **Prevention of Herding by Experts**\\ 
 +//Economics Letters// **78**(3) (2003), 401–407.\\ 
 +{{people:​kargin:​publications:​com_proof.pdf|PDF (journal proof version)}} 
 + 
 +  * **Optimal Asset Allocation with Asymptotic Criteria**\\ 
 +//IJTAF// **6**(6) (2003), 593–604.\\ 
 +{{people:​kargin:​publications:​kargin2002_optimal_asset_allocation.pdf|PDF (arXiv version)}} 
 + 
 + 
 +===== 2002 ===== 
 + 
 +  * **Value Investing in Emerging Markets: Risks and Benefits**\\ 
 +//Emerging Markets Review// **3**(3) (2002), 233–244.\\ 
 +{{people:​kargin:​publications:​kargin2002_value_investing_in_emerging_markets.pdf|PDF (journal proof version)}} 
 + 
 +---- 
 + 
 +[[people:​kargin:​start|← Back to main page]]
people/kargin/kargin_publications.1767895543.txt · Last modified: 2026/01/08 13:05 by kargin