AK
Alexander Kolpakov
math.GTmath.MGmath.COmath.GRmath.NTmath.DGmath.MPmath-phcs.AIcs.IT
On Valency
published · living versionsW_bwbpwzx6·v1 · currentpublished
Preprints & journals
53 papers in the corpus · 2010–2026DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale2604.25209v2 · Alexander Kolpakov, Igor Rivin2026 · 0 citationsarXiv
Multiplicative Turing Ensembles, Pareto's Law, and Creativity2510.04167v3 · Alexander Kolpakov, Aidan Rocke2025 · 0 citations2026 Phys. Scr. 101 245010
Benford's law from Turing ensembles and integer partitions.41250487 · Kolpakov, Alexander, Rocke, Aidan2025 · 1 citationPhysical review. E. 2025;112(4-1):044149
Loss-Complexity Landscape and Model Structure Functions2507.13543v5 · Alexander Kolpakov2025 · 0 citations2026 J. Phys. A: Math. Theor. 59 145204
Lagrangians, Renormalization, and Quantization in Prefix Coding2506.23447v8 · Alexander Kolpakov, Aidan Rocke2025 · 0 citationsBraz. J. Phys., 2026
Fast Geometric Embedding for Node Influence Maximization2506.07435v3 · Alexander Kolpakov, Igor Rivin2025 · 1 citationarXiv
The giant increase of stiffness of inhomogeneous rods and beams.40447609 · Kolpakov, A A, Kolpakov, A G2025 · 0 citationsScientific reports. 2025;15(1):18967
Dimensionality reduction for homological stability and global structure preservation2503.03156v4 · Alexander Kolpakov, Igor Rivin2025 · 0 citationsarXiv
Machine learning of the prime distribution.39331654 · Kolpakov, Alexander, Rocke, A Alistair2024 · 1 citationPloS one. 2024;19(9):e0301240
A ripple in time: a discontinuity in American history2312.01185v7 · Alexander Kolpakov, Igor Rivin2023 · 0 citationsarXiv
An Approach to Robust ICP Initialization.37335788 · Kolpakov, Alexander, Werman, Michael2023 · 7 citationsIEEE transactions on pattern analysis and machine intelligence. 2023;45(10):12685-12691
The Information Geometry of UMAP2309.01237v8 · Alexander Kolpakov, Aidan Rocke2023 · 1 citationarXiv
Robust affine point matching via quadratic assignment on Grassmannians2303.02698v5 · Alexander Kolpakov, Michael Werman2023 · 2 citationsarXiv
Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically2203.01997v3 · Leonardo Ferrari, Alexander Kolpakov, Alan W. Reid2022 · 3 citationsarXiv
Thin hyperbolic reflection groups2112.14642v4 · Nikolay Bogachev, Alexander Kolpakov2021 · 0 citationsarXiv
Infinitely many quasi-arithmetic maximal reflection groups2109.03316v4 · Edoardo Dotti, Alexander Kolpakov2021 · 2 citationsarXiv
Euclidean volumes of hyperbolic knots2107.03275v1 · Nikolay Abrosimov, Alexander Kolpakov, Alexander Mednykh2021 · 0 citationsarXiv
Three-dimensional maps and subgroup growth.35726247 · Bottinelli, Rémi, Ciobanu, Laura, Kolpakov, Alexander2024 · 3 citationsManuscripta mathematica. 2022;168(3-4):549-570
On free semigroups of affine maps on the real line2105.09387v2 · Alexander Kolpakov, Alexey Talambutsa2021 · 3 citationsarXiv
Subspace stabilisers in hyperbolic lattices2105.06897v11 · Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov et al.2021 · 4 citationsJournal of the Association for Mathematical Research, 4(1), 111-182 (2026)
Space vectors forming rational angles2011.14232v1 · Kiran S. Kedlaya, Alexander Kolpakov, Bjorn Poonen et al.2020 · 4 citationsarXiv
Packable hyperbolic surfaces with symmetries2010.12028v3 · Maria Dostert, Alexander Kolpakov2020 · 0 citationsarXiv
The signature of cusped hyperbolic 4-manifolds2006.12095v4 · Alexander Kolpakov, Stefano Riolo, Steven T. Tschantz2020 · 1 citationInt. Math. Res. Not. IMRN 2023:9 (2023), 7961-7975
Semidefinite programming bounds for the average kissing number2003.11832v1 · Maria Dostert, Alexander Kolpakov, Fernando M'ario de Oliveira Filho2020 · 3 citationsarXiv
Kissing number in non-Euclidean spaces of constant sectional curvature2003.05547v6 · Maria Dostert, Alexander Kolpakov2020 · 2 citationsMath. Comp. (2021)
Embedding non-arithmetic hyperbolic manifolds2003.01707v4 · Alexander Kolpakov, Stefano Riolo, Leone Slavich2020 · 3 citationsMath. Res. Lett., vol. 29 (2022) n. 1, p. 247-274
Growth rates of Coxeter groups and Perron numbers1912.05608v3 · Alexander Kolpakov, Alexey Talambutsa2019 · 0 citationsarXiv
Kissing number in spherical space1910.02715v2 · Maria Dostert, Alexander Kolpakov2019 · 0 citationsarXiv
Kissing number in hyperbolic space1907.00255v2 · Maria Dostert, Alexander Kolpakov2019 · 2 citationsarXiv
A hyperbolic counterpart to Rokhlin's cobordism theorem1905.04774v5 · Michelle Chu, Alexander Kolpakov2019 · 3 citationsarXiv
On the formulas for effective stiffnesses in a paper by Zheng Ye, Victor L. Berdichevsky and Wenbin Yu1902.05453v4 · A. A. Kolpakov, A. G. Kolpakov2019 · 0 citationsarXiv
Telescopic groups and symmetries of combinatorial maps1901.05710v3 · R'emi Bottinelli, Laura Grave de Peralta, Alexander Kolpakov2019 · 1 citationarXiv
Spherical tetrahedra with rational volume, and spherical Pythagorean triples1811.06598v5 · Alexander Kolpakov, Sinai Robins2018 · 0 citationsarXiv
Computation of homogenized stiffnesses of thin corrugated plates1811.01718v3 · A. A. Kolpakov, A. G. Kolpakov2018 · 1 citationarXiv
Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers1809.09591v6 · Alexander Kolpakov, Alexey Talambutsa2018 · 2 citationsarXiv
Free subgroups of free products and combinatorial hypermaps1708.03842v4 · Laura Ciobanu, Alexander Kolpakov2017 · 3 citationsDiscrete Mathematics, 2019
Combinatorial decompositions, Kirillov-Reshetikhin invariants and the Volume Conjecture for hyperbolic polyhedra1603.02380v1 · Alexander Kolpakov, Jun Murakami2016 · 4 citationsarXiv
Hyperbolic four-manifolds, colourings and mutations1507.02747v5 · Alexander Kolpakov, Leone Slavich2015 · 15 citationsProc. London Math. Soc. (2016), 113 (2), 163-184
Geodesic growth of right-angled Coxeter groups based on trees1504.02774v3 · Laura Ciobanu, Alexander Kolpakov2015 · 3 citationsarXiv
The dual Jacobian of a generalised tetrahedron, and volumes of prisms1409.3355v5 · Alexander Kolpakov, Jun Murakami2014 · 0 citationsarXiv
Symmetries of hyperbolic 4-manifolds1409.1910v10 · Alexander Kolpakov, Leone Slavich2014 · 9 citationsInternational Mathematics Research Notices, Volume 2016, Issue 9, 2677-2716
Some hyperbolic three-manifolds that bound geometrically1311.2993v6 · Alexander Kolpakov, Bruno Martelli, Steven T. Tschantz2013 · 23 citationsarXiv
Hyperbolic four-manifolds with one cusp1303.6122v7 · Alexander Kolpakov, Bruno Martelli2013 · 36 citationsarXiv
Interaction of "rigid" quantum systems1212.3702v3 · A. A. Kolpakov, A. G. Kolpakov2012 · 0 citationsarXiv
On the optimality of the ideal right-angled 24-cell1211.2944v2 · Alexander Kolpakov2012 · 11 citationsAlgebraic & Geometric Topology 12 (2012) 1941-1960
Complementarity problems for electro-neutral charged bodies1207.5142v1 · A.A. Kolpakov, A.G. Kolpakov2012 · 1 citationarXiv
Complementarity problems for two pairs of charged bodies1205.5157v2 · A. A. Kolpakov, A. G. Kolpakov2012 · 2 citationsarXiv
Volume of a doubly truncated hyperbolic tetrahedron1203.1061v8 · Alexander Kolpakov, Jun Murakami2012 · 10 citationsAequat. Math. 85 (2013), 449-463
Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers1105.6267v5 · Alexander Kolpakov2011 · 16 citationsarXiv
Addendum to "Spherical structures on torus knots and links"1101.1620v2 · Alexander Kolpakov2011 · 0 citationsarXiv
Career total: 111 works. 53 are in this corpus.Showing the 50 most recent.
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