Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds

Authors: Kolesnikov, Alexander V., Milman, Emanuel

Source: American Journal of Mathematics. 140(5):1147-1185

Availability: https://muse.jhu.edu/article/703104

Auctions and mass transportation

Authors: Kolesnikov, Alexander V.

Subject Terms: Computer Science - Computer Science and Game Theory, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2312.08077

Research Prototype of the Cognitive Decision Support System for Information Preparation of Decisions of the Complex Problem of Monitoring Situations and the State of a Control Object in Systems with a High Spatio-Temporal Dynamics

Authors: Kolesnikov, Alexander V., Rumovskaya, Sophiya B., Jasinski, Eric V., Soldatov, Sergei A.

Source: 2021 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA) Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2021 3rd International Conference on. :921-926 Nov, 2021

Relation: 2021 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)

Beckmann's approach to multi-item multi-bidder auctions

Authors: Kolesnikov, Alexander V., Sandomirskiy, Fedor, Tsyvinski, Aleh, Zimin, Alexander P.

Subject Terms: Economics - Theoretical Economics, Computer Science - Computer Science and Game Theory, Mathematics - Functional Analysis, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2203.06837

Dominant role for pigment epithelial CRALBP in supplying visual chromophore to photoreceptors

Authors: Bassetto, Marco ^{1, 2, 3}, Kolesnikov, Alexander V. ³, Lewandowski, Dominik ³, Kiser, Jianying Z. ^{1, 3}, Halabi, Maximilian ¹, Einstein, David E. ^{1, 2}, Choi, Elliot H. ³, Palczewski, Krzysztof ^{1, 3, 4, 5}, Kefalov, Vladimir J. ^{1, 3}, Kiser, Philip D. ^{1, 2, 3, 6, 7, ∗}

Source: In Cell Reports 28 May 2024 43(5)

Blaschke-Santalo inequality for many functions and geodesic barycenters of measures

Authors: Kolesnikov, Alexander V., Werner, Elisabeth M.

Subject Terms: Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2010.00135

The multistochastic Monge-Kantorovich problem

Authors: Gladkov, Nikita A., Kolesnikov, Alexander V., Zimin, Alexander P.

Subject Terms: Mathematics - Functional Analysis, 49J35, 49K40

Access URL: http://arxiv.org/abs/2008.07926

Pinsker inequalities and related Monge-Amp\`ere equations for log concave functions

Authors: Caglar, Umut, Kolesnikov, Alexander V., Werner, Elisabeth M.

Subject Terms: Mathematics - Differential Geometry, Mathematics - Metric Geometry

Access URL: http://arxiv.org/abs/2005.07055

On the local version of the Log-Brunn-Minkowski conjecture and some new related geometric inequalities

Authors: Kolesnikov, Alexander V., Livshyts, Galyna V.

Subject Terms: Mathematics - Metric Geometry, Mathematics - Classical Analysis and ODEs, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2004.06103

On the $L_p$-Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures

Authors: Hosle, Johannes, Kolesnikov, Alexander V., Livshyts, Galyna V.

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, Mathematics - Metric Geometry

Access URL: http://arxiv.org/abs/2003.05282

Mass transportation functionals on the sphere with applications to the logarithmic Minkowski problem

Authors: Kolesnikov, Alexander V.

Subject Terms: Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1807.07002

On the Gardner-Zvavitch conjecture: symmetry in the inequalities of Brunn-Minkowski type

Authors: Kolesnikov, Alexander V., Livshyts, Galyna V.

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, Mathematics - Functional Analysis, Mathematics - Metric Geometry, Mathematics - Probability

Access URL: http://arxiv.org/abs/1807.06952

On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals

Authors: Gladkov, Nikita A., Kolesnikov, Alexander V., Zimin, Alexander P.

Subject Terms: Mathematics - Functional Analysis, 49J35, 05Dxx

Access URL: http://arxiv.org/abs/1803.10447

Moment measures and stability for Gaussian inequalities

Authors: Kolesnikov, Alexander V., Kosov, Egor D.

Subject Terms: Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1801.00140

Poincar\'e and Brunn--Minkowski inequalities on the boundary of weighted Riemannian manifolds

Authors: Kolesnikov, Alexander V., Milman, Emanuel

Subject Terms: Mathematics - Differential Geometry, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1711.08825

Local $L^p$-Brunn-Minkowski inequalities for $p < 1$

Authors: Kolesnikov, Alexander V., Milman, Emanuel

Subject Terms: Mathematics - Functional Analysis, Mathematics - Spectral Theory

Access URL: http://arxiv.org/abs/1711.01089

Extremal Kaehler-Einstein metric for two-dimensional convex bodies

Authors: Klartag, Bo'az, Kolesnikov, Alexander V.

Subject Terms: Mathematics - Differential Geometry, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1710.04618

The multistochastic Monge–Kantorovich problem

Authors: Gladkov, Nikita A., Kolesnikov, Alexander V., Zimin, Alexander P.

Source: In Journal of Mathematical Analysis and Applications 15 February 2022 506(2)

Blaschke–Santaló inequality for many functions and geodesic barycenters of measures

Authors: Kolesnikov, Alexander V., Werner, Elisabeth M.

Source: In Advances in Mathematics 12 February 2022 396

The KLS Isoperimetric Conjecture for Generalized Orlicz Balls

Authors: Kolesnikov, Alexander V., Milman, Emanuel

Subject Terms: Mathematics - Functional Analysis, Mathematics - Spectral Theory

Access URL: http://arxiv.org/abs/1610.06336