Coupier, David; Saha, Kumarjit; Sarkar, Anish; Tran, Viet Chi The 2D-directed spanning forest converges to the Brownian web. (English) Zbl 07310796 Ann. Probab. 49, No. 1, 435-484 (2021). MSC: 60D05 PDF BibTeX XML Cite \textit{D. Coupier} et al., Ann. Probab. 49, No. 1, 435--484 (2021; Zbl 07310796) Full Text: DOI Euclid
Holden, Nina; Peres, Yuval; Zhai, Alex Gravitational allocation for uniform points on the sphere. (English) Zbl 07310793 Ann. Probab. 49, No. 1, 287-321 (2021). MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{N. Holden} et al., Ann. Probab. 49, No. 1, 287--321 (2021; Zbl 07310793) Full Text: DOI Euclid
Louf, Baptiste Simple formulas for constellations and bipartite maps with prescribed degrees. (English) Zbl 07300450 Can. J. Math. 73, No. 1, 160-176 (2021). MSC: 60D05 81T40 81T20 PDF BibTeX XML Cite \textit{B. Louf}, Can. J. Math. 73, No. 1, 160--176 (2021; Zbl 07300450) Full Text: DOI
Alberts, Tom; Cator, Eric On the passage time geometry of the last passage percolation problem. (English) Zbl 07298009 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 211-247 (2021). MSC: 60D05 60K35 06A11 PDF BibTeX XML Cite \textit{T. Alberts} and \textit{E. Cator}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 211--247 (2021; Zbl 07298009) Full Text: Link
Hu, Zhang-nan; Li, Bing Random covering sets in metric space with exponentially mixing property. (English) Zbl 07290481 Stat. Probab. Lett. 168, Article ID 108922, 7 p. (2021). MSC: 60D05 28A80 PDF BibTeX XML Cite \textit{Z.-n. Hu} and \textit{B. Li}, Stat. Probab. Lett. 168, Article ID 108922, 7 p. (2021; Zbl 07290481) Full Text: DOI
Iyer, Srikanth K.; Yogeshwaran, D. Thresholds for vanishing of ‘isolated’ faces in random Čech and Vietoris-Rips complexes. (English. French summary) Zbl 07310509 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869-1897 (2020). MSC: 60D05 05E45 60B99 05C80 PDF BibTeX XML Cite \textit{S. K. Iyer} and \textit{D. Yogeshwaran}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869--1897 (2020; Zbl 07310509) Full Text: DOI Euclid
Ohanyan, V. K.; Martirosyan, D. M. Orientation-dependent chord length distribution function for right prisms with rectangular or right trapezoidal bases. (English) Zbl 07308375 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 344-355 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 68-82 (2020). MSC: 60D05 52A22 53C65 PDF BibTeX XML Cite \textit{V. K. Ohanyan} and \textit{D. M. Martirosyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 344--355 (2020; Zbl 07308375) Full Text: DOI
Aharonyan, N. G.; Khalatyan, V. Distribution of the distance between two random points in a body from \(\mathbb{R}^n\). (English) Zbl 07308373 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 329-334 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 3-9 (2020). MSC: 60D05 52A22 53C65 PDF BibTeX XML Cite \textit{N. G. Aharonyan} and \textit{V. Khalatyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 329--334 (2020; Zbl 07308373) Full Text: DOI
Akinwande, Grace; Reitzner, Matthias Multivariate central limit theorems for random simplicial complexes. (English) Zbl 07304595 Adv. Appl. Math. 121, Article ID 102076, 27 p. (2020). MSC: 60D05 60F05 55U10 PDF BibTeX XML Cite \textit{G. Akinwande} and \textit{M. Reitzner}, Adv. Appl. Math. 121, Article ID 102076, 27 p. (2020; Zbl 07304595) Full Text: DOI
Trinh, Khanh Duy On persistent homology of random Čech complexes. (English) Zbl 07304023 RIMS Kôkyûroku Bessatsu B79, 215-228 (2020). MSC: 60D05 55N31 57Q70 60K35 PDF BibTeX XML Cite \textit{K. D. Trinh}, RIMS Kôkyûroku Bessatsu B79, 215--228 (2020; Zbl 07304023) Full Text: Link
Aharonyan, N. G.; Khalatyan, V. Distribution of the distance between two random points in a body from \(\mathbb R^3\). (English. Russian original) Zbl 07269810 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 2, 71-75 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 2, 3-8 (2020). MSC: 60D05 52A22 53C65 PDF BibTeX XML Cite \textit{N. G. Aharonyan} and \textit{V. Khalatyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 2, 71--75 (2020; Zbl 07269810); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 2, 3--8 (2020) Full Text: DOI
Ohanyan, V. K.; Bardakhchyan, V. G.; Ulitina, E. I. Distribution of length of random segment and covariogram for fuzzy convex bodies. (English. Russian original) Zbl 07269802 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 1, 32-41 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 1, 43-56 (2020). MSC: 60D05 60A86 53C65 PDF BibTeX XML Cite \textit{V. K. Ohanyan} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 1, 32--41 (2020; Zbl 07269802); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 1, 43--56 (2020) Full Text: DOI
Kenyon, Richard Right-angled hexagon tilings of the hyperbolic plane. (English) Zbl 07264005 Thurston, Dylan P. (ed.), What’s next? The mathematical legacy of William P. Thurston. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16776-3/hbk; 978-0-691-16777-0/pbk; 978-0-691-18589-7/ebook). Annals of Mathematics Studies 205, 206-214 (2020). Reviewer: Bruno Zimmermann (Trieste) MSC: 60D05 37B50 PDF BibTeX XML Cite \textit{R. Kenyon}, Ann. Math. Stud. 205, 206--214 (2020; Zbl 07264005)
Grygierek, Jens Poisson and Gaussian fluctuations for the components of the \(\mathbf{f}\)-vector of high-dimensional random simplicial complexes. (English) Zbl 1453.60014 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 675-709 (2020). MSC: 60D05 60F05 55U10 PDF BibTeX XML Cite \textit{J. Grygierek}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 675--709 (2020; Zbl 1453.60014) Full Text: Link
Fill, James Allen; Naiman, Daniel Q. The Pareto record frontier. (English) Zbl 07252724 Electron. J. Probab. 25, Paper No. 92, 24 p. (2020). MSC: 60D05 60F05 60F15 60G70 60G17 PDF BibTeX XML Cite \textit{J. A. Fill} and \textit{D. Q. Naiman}, Electron. J. Probab. 25, Paper No. 92, 24 p. (2020; Zbl 07252724) Full Text: DOI Euclid
Dubédat, Julien; Falconet, Hugo; Gwynne, Ewain; Pfeffer, Joshua; Sun, Xin Weak LQG metrics and Liouville first passage percolation. (English) Zbl 07250118 Probab. Theory Relat. Fields 178, No. 1-2, 369-436 (2020). MSC: 60D05 60G60 PDF BibTeX XML Cite \textit{J. Dubédat} et al., Probab. Theory Relat. Fields 178, No. 1--2, 369--436 (2020; Zbl 07250118) Full Text: DOI
Gwynne, Ewain; Holden, Nina; Sun, Xin A mating-of-trees approach for graph distances in random planar maps. (English) Zbl 07227783 Probab. Theory Relat. Fields 177, No. 3-4, 1043-1102 (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G50 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Probab. Theory Relat. Fields 177, No. 3--4, 1043--1102 (2020; Zbl 07227783) Full Text: DOI
Miller, Jason; Qian, Wei The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions. (English) Zbl 1450.60009 Probab. Theory Relat. Fields 177, No. 3-4, 677-709 (2020). Reviewer: Andrew Wade (Durham) MSC: 60D05 60J67 PDF BibTeX XML Cite \textit{J. Miller} and \textit{W. Qian}, Probab. Theory Relat. Fields 177, No. 3--4, 677--709 (2020; Zbl 1450.60009) Full Text: DOI
Jaffe, Ariel; Kluger, Yuval; Linderman, George C.; Mishne, Gal; Steinerberger, Stefan Randomized near-neighbor graphs, giant components and applications in data science. (English) Zbl 1446.60013 J. Appl. Probab. 57, No. 2, 458-476 (2020). MSC: 60D05 60K35 05C40 05C80 62R07 PDF BibTeX XML Cite \textit{A. Jaffe} et al., J. Appl. Probab. 57, No. 2, 458--476 (2020; Zbl 1446.60013) Full Text: DOI
Ekström, Fredrik; Järvenpää, Esa; Järvenpää, Maarit Hausdorff dimension of limsup sets of rectangles in the Heisenberg group. (English) Zbl 07224190 Math. Scand. 126, No. 2, 229-255 (2020). Reviewer: George Stoica (Saint John) MSC: 60D05 22E30 28A80 60B15 PDF BibTeX XML Cite \textit{F. Ekström} et al., Math. Scand. 126, No. 2, 229--255 (2020; Zbl 07224190) Full Text: DOI
Owada, Takashi; Thomas, Andrew M. Limit theorems for process-level Betti numbers for sparse and critical regimes. (English) Zbl 07221649 Adv. Appl. Probab. 52, No. 1, 1-31 (2020). Reviewer: Andrew Wade (Durham) MSC: 60D05 55U10 60F05 05E45 PDF BibTeX XML Cite \textit{T. Owada} and \textit{A. M. Thomas}, Adv. Appl. Probab. 52, No. 1, 1--31 (2020; Zbl 07221649) Full Text: DOI
Heilman, Steven A periodic isoperimetric problem related to the unique games conjecture. (English) Zbl 07213265 Random Struct. Algorithms 56, No. 1, 154-168 (2020). MSC: 60D05 68Q17 PDF BibTeX XML Cite \textit{S. Heilman}, Random Struct. Algorithms 56, No. 1, 154--168 (2020; Zbl 07213265) Full Text: DOI
Hug, Daniel; Schneider, Rolf Poisson hyperplane processes and approximation of convex bodies. (English) Zbl 07210242 Mathematika 66, No. 3, 713-732 (2020). MSC: 60D05 52A27 PDF BibTeX XML Cite \textit{D. Hug} and \textit{R. Schneider}, Mathematika 66, No. 3, 713--732 (2020; Zbl 07210242) Full Text: DOI
Penrose, Mathew D. Leaves on the line and in the plane. (English) Zbl 1447.60034 Electron. J. Probab. 25, Paper No. 53, 40 p. (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G57 60G55 82C22 PDF BibTeX XML Cite \textit{M. D. Penrose}, Electron. J. Probab. 25, Paper No. 53, 40 p. (2020; Zbl 1447.60034) Full Text: DOI Euclid
Villemonais, Denis Lower bound for the coarse Ricci curvature of continuous-time pure-jump processes. (English) Zbl 1451.60025 J. Theor. Probab. 33, No. 2, 954-991 (2020). MSC: 60D05 60J76 60K35 PDF BibTeX XML Cite \textit{D. Villemonais}, J. Theor. Probab. 33, No. 2, 954--991 (2020; Zbl 1451.60025) Full Text: DOI
Teixeira Parente, Mario; Wallin, Jonas; Wohlmuth, Barbara Generalized bounds for active subspaces. (English) Zbl 1434.60059 Electron. J. Stat. 14, No. 1, 917-943 (2020). MSC: 60D05 60-08 PDF BibTeX XML Cite \textit{M. Teixeira Parente} et al., Electron. J. Stat. 14, No. 1, 917--943 (2020; Zbl 1434.60059) Full Text: DOI Euclid
Coupier, David; Dereudre, David; Le Stum, Simon Absence of percolation for Poisson outdegree-one graphs. (English. French summary) Zbl 1434.60055 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1179-1202 (2020). MSC: 60D05 60K35 PDF BibTeX XML Cite \textit{D. Coupier} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1179--1202 (2020; Zbl 1434.60055) Full Text: DOI Euclid
Holroyd, Alexander E.; Martin, James B.; Peres, Yuval Stable matchings in high dimensions via the Poisson-weighted infinite tree. (English. French summary) Zbl 1434.60056 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 826-846 (2020). MSC: 60D05 60G55 05C70 PDF BibTeX XML Cite \textit{A. E. Holroyd} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 826--846 (2020; Zbl 1434.60056) Full Text: DOI Euclid
Jahnel, Benedikt; Tóbiás, András Exponential moments for planar tessellations. (English) Zbl 1437.60009 J. Stat. Phys. 179, No. 1, 90-109 (2020). MSC: 60D05 52A38 60G55 PDF BibTeX XML Cite \textit{B. Jahnel} and \textit{A. Tóbiás}, J. Stat. Phys. 179, No. 1, 90--109 (2020; Zbl 1437.60009) Full Text: DOI
O’Reilly, Eliza Thin-shell concentration for zero cells of stationary Poisson mosaics. (English) Zbl 1434.60057 Adv. Appl. Math. 117, Article ID 102017, 24 p. (2020). MSC: 60D05 52A22 PDF BibTeX XML Cite \textit{E. O'Reilly}, Adv. Appl. Math. 117, Article ID 102017, 24 p. (2020; Zbl 1434.60057) Full Text: DOI
Gwynne, Ewain; Miller, Jason; Sheffield, Scott The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity. (English) Zbl 1441.60015 Commun. Math. Phys. 374, No. 2, 735-784 (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60K35 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Commun. Math. Phys. 374, No. 2, 735--784 (2020; Zbl 1441.60015) Full Text: DOI
Osting, Braxton; Simanek, Brian A maximal energy pointset configuration problem. (English) Zbl 1434.60058 J. Math. Anal. Appl. 485, No. 2, Article ID 123830, 25 p. (2020). MSC: 60D05 PDF BibTeX XML Cite \textit{B. Osting} and \textit{B. Simanek}, J. Math. Anal. Appl. 485, No. 2, Article ID 123830, 25 p. (2020; Zbl 1434.60058) Full Text: DOI
Edelsbrunner, H.; Nikitenko, A. Weighted Poisson-Delaunay mosaics. (English) Zbl 1432.60023 Theory Probab. Appl. 64, No. 4, 595-614 (2020) and Teor. Veroyatn. Primen. 64, No. 4, 746-770 (2019). MSC: 60D05 52C22 60G55 PDF BibTeX XML Cite \textit{H. Edelsbrunner} and \textit{A. Nikitenko}, Theory Probab. Appl. 64, No. 4, 595--614 (2020; Zbl 1432.60023) Full Text: DOI
Grygierek, Jens; Thäle, Christoph Gaussian fluctuations for edge counts in high-dimensional random geometric graphs. (English) Zbl 1453.60015 Stat. Probab. Lett. 158, Article ID 108674, 10 p. (2020). MSC: 60D05 60F05 PDF BibTeX XML Cite \textit{J. Grygierek} and \textit{C. Thäle}, Stat. Probab. Lett. 158, Article ID 108674, 10 p. (2020; Zbl 1453.60015) Full Text: DOI
Ananjevskii, S. M.; Kryukov, N. A. Asymptotic normality in the problem of selfish parking. (English. Russian original) Zbl 07276522 Vestn. St. Petersbg. Univ., Math. 52, No. 4, 368-379 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 4, 592-607 (2019). MSC: 60D05 PDF BibTeX XML Cite \textit{S. M. Ananjevskii} and \textit{N. A. Kryukov}, Vestn. St. Petersbg. Univ., Math. 52, No. 4, 368--379 (2019; Zbl 07276522); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 4, 592--607 (2019) Full Text: DOI
Yuan, Mingao On the geometric structure of some statistical manifolds. (English) Zbl 07276349 Balkan J. Geom. Appl. 24, No. 2, 79-89 (2019). MSC: 60D05 62E99 PDF BibTeX XML Cite \textit{M. Yuan}, Balkan J. Geom. Appl. 24, No. 2, 79--89 (2019; Zbl 07276349) Full Text: Link
Calka, Pierre; Chapron, Aurélie; Enriquez, Nathanaël Poisson-Voronoi mosaic on a surface. (Mosaïque de Poisson-Voronoi sur une surface.) (French) Zbl 1452.60010 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités L. Cham: Springer. Lect. Notes Math. 2252, 9-16 (2019). MSC: 60D05 52A22 PDF BibTeX XML Cite \textit{P. Calka} et al., Lect. Notes Math. 2252, 9--16 (2019; Zbl 1452.60010) Full Text: DOI
Sénizergues, Delphin Random gluing of metric spaces. (English) Zbl 07212172 Ann. Probab. 47, No. 6, 3812-3865 (2019). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 53C65 PDF BibTeX XML Cite \textit{D. Sénizergues}, Ann. Probab. 47, No. 6, 3812--3865 (2019; Zbl 07212172) Full Text: DOI Euclid
Baur, Erich; Miermont, Grégory; Ray, Gourab Classification of scaling limits of uniform quadrangulations with a boundary. (English) Zbl 1448.60027 Ann. Probab. 47, No. 6, 3397-3477 (2019). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 60D05 60F17 05C80 PDF BibTeX XML Cite \textit{E. Baur} et al., Ann. Probab. 47, No. 6, 3397--3477 (2019; Zbl 1448.60027) Full Text: DOI Euclid
Bürgisser, Peter; Ergür, Alperen A.; Tonelli-Cueto, Josué On the number of real zeros of random fewnomials. (English) Zbl 1441.60014 SIAM J. Appl. Algebra Geom. 3, No. 4, 721-732 (2019). MSC: 60D05 14P05 PDF BibTeX XML Cite \textit{P. Bürgisser} et al., SIAM J. Appl. Algebra Geom. 3, No. 4, 721--732 (2019; Zbl 1441.60014) Full Text: DOI arXiv
Beneš, Viktor; Večeřa, Jakub; Pultar, Milan Planar segment processes with reference mark distributions, modeling and estimation. (English) Zbl 1428.60024 Methodol. Comput. Appl. Probab. 21, No. 3, 683-698 (2019). MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{V. Beneš} et al., Methodol. Comput. Appl. Probab. 21, No. 3, 683--698 (2019; Zbl 1428.60024) Full Text: DOI
Chenavier, Nicolas; Nagel, Werner The largest order statistics for the inradius in an isotropic STIT tessellation. (English) Zbl 1427.60022 Extremes 22, No. 4, 571-598 (2019). MSC: 60D05 60G70 60F05 62G32 PDF BibTeX XML Cite \textit{N. Chenavier} and \textit{W. Nagel}, Extremes 22, No. 4, 571--598 (2019; Zbl 1427.60022) Full Text: DOI arXiv
Ananjevskii, S. M.; Kryukov, N. A. On asymptotic normality in one generalization of the Renyi problem. (English. Russian original) Zbl 1427.60019 Vestn. St. Petersbg. Univ., Math. 52, No. 3, 227-233 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 3, 353-362 (2019). MSC: 60D05 60C05 60F99 PDF BibTeX XML Cite \textit{S. M. Ananjevskii} and \textit{N. A. Kryukov}, Vestn. St. Petersbg. Univ., Math. 52, No. 3, 227--233 (2019; Zbl 1427.60019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 3, 353--362 (2019) Full Text: DOI
Okada, Izumi Geometric structures of late points of a two-dimensional simple random walk. (English) Zbl 1448.60028 Ann. Probab. 47, No. 5, 2869-2893 (2019). MSC: 60D05 60G50 60J55 PDF BibTeX XML Cite \textit{I. Okada}, Ann. Probab. 47, No. 5, 2869--2893 (2019; Zbl 1448.60028) Full Text: DOI Euclid arXiv
Schneider, Rolf Interaction of Poisson hyperplane processes and convex bodies. (English) Zbl 1427.60027 J. Appl. Probab. 56, No. 4, 1020-1032 (2019). MSC: 60D05 52A27 60F05 PDF BibTeX XML Cite \textit{R. Schneider}, J. Appl. Probab. 56, No. 4, 1020--1032 (2019; Zbl 1427.60027) Full Text: DOI arXiv
Qi, Weinan; Zarepour, Mahmoud On resampling schemes for polytopes. (English) Zbl 1427.60025 J. Appl. Probab. 56, No. 4, 959-980 (2019). MSC: 60D05 60G55 62G09 62G20 62G32 62G05 PDF BibTeX XML Cite \textit{W. Qi} and \textit{M. Zarepour}, J. Appl. Probab. 56, No. 4, 959--980 (2019; Zbl 1427.60025) Full Text: DOI
Liang, Mingjie; Wu, Bingyao Brownian cuboid and its geometric characteristics. (English) Zbl 1428.60026 Appl. Math. Comput. 358, 278-286 (2019). MSC: 60D05 60J65 60G15 PDF BibTeX XML Cite \textit{M. Liang} and \textit{B. Wu}, Appl. Math. Comput. 358, 278--286 (2019; Zbl 1428.60026) Full Text: DOI
Baccelli, François; O’reilly, Eliza The stochastic geometry of unconstrained one-bit data compression. (English) Zbl 1427.60020 Electron. J. Probab. 24, Paper No. 138, 27 p. (2019). MSC: 60D05 68P30 52A22 94A34 PDF BibTeX XML Cite \textit{F. Baccelli} and \textit{E. O'reilly}, Electron. J. Probab. 24, Paper No. 138, 27 p. (2019; Zbl 1427.60020) Full Text: DOI Euclid arXiv
Mtibaa, Riadh; Khan, Salam Injectivity radius and geometric bound on Kendall shape space. (English) Zbl 1427.60024 Nonlinear Stud. 26, No. 3, 663-691 (2019). MSC: 60D05 62G20 62G08 PDF BibTeX XML Cite \textit{R. Mtibaa} and \textit{S. Khan}, Nonlinear Stud. 26, No. 3, 663--691 (2019; Zbl 1427.60024) Full Text: Link
Hug, Daniel; Weil, Wolfgang Determination of Boolean models by densities of mixed volumes. (English) Zbl 1427.60023 Adv. Appl. Probab. 51, No. 1, 116-135 (2019). MSC: 60D05 52A22 52A39 60G55 62M30 PDF BibTeX XML Cite \textit{D. Hug} and \textit{W. Weil}, Adv. Appl. Probab. 51, No. 1, 116--135 (2019; Zbl 1427.60023) Full Text: DOI
De, Anindya; Mossel, Elchanan; Neeman, Joe Noise stability is computable and approximately low-dimensional. (English) Zbl 1450.60008 Theory Comput. 15, Paper No. 6, 47 p. (2019). MSC: 60D05 53A10 60F05 68U05 PDF BibTeX XML Cite \textit{A. De} et al., Theory Comput. 15, Paper No. 6, 47 p. (2019; Zbl 1450.60008) Full Text: DOI
Xu, Wen-Qing; Meng, Linlin; Li, Yong Random polygons and estimations of \(\pi\). (English) Zbl 1453.60018 Open Math. 17, 575-581 (2019). MSC: 60D05 60-08 PDF BibTeX XML Cite \textit{W.-Q. Xu} et al., Open Math. 17, 575--581 (2019; Zbl 1453.60018) Full Text: DOI
Sepúlveda, Avelio On thin local sets of the Gaussian free field. (English. French summary) Zbl 1450.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1797-1813 (2019). MSC: 60D05 60K35 PDF BibTeX XML Cite \textit{A. Sepúlveda}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1797--1813 (2019; Zbl 1450.60010) Full Text: DOI Euclid arXiv
Barlow, Martin T.; Járai, Antal A. Geometry of uniform spanning forest components in high dimensions. (English) Zbl 07131210 Can. J. Math. 71, No. 6, 1297-1321 (2019). MSC: 60D05 05C05 31C20 PDF BibTeX XML Cite \textit{M. T. Barlow} and \textit{A. A. Járai}, Can. J. Math. 71, No. 6, 1297--1321 (2019; Zbl 07131210) Full Text: DOI
Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario On the optimal map in the \(2\)-dimensional random matching problem. (English) Zbl 07130132 Discrete Contin. Dyn. Syst. 39, No. 12, 7291-7308 (2019). MSC: 60D05 49J55 58J35 35F21 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Discrete Contin. Dyn. Syst. 39, No. 12, 7291--7308 (2019; Zbl 07130132) Full Text: DOI arXiv
Edelsbrunner, Herbert; Nikitenko, Anton Poisson-Delaunay mosaics of order \(k\). (English) Zbl 1439.60018 Discrete Comput. Geom. 62, No. 4, 865-878 (2019). MSC: 60D05 68U05 PDF BibTeX XML Cite \textit{H. Edelsbrunner} and \textit{A. Nikitenko}, Discrete Comput. Geom. 62, No. 4, 865--878 (2019; Zbl 1439.60018) Full Text: DOI
Schneider, Rolf Small faces in stationary Poisson hyperplane tessellations. (English) Zbl 07119619 Math. Nachr. 292, No. 8, 1811-1822 (2019). MSC: 60D05 52C22 PDF BibTeX XML Cite \textit{R. Schneider}, Math. Nachr. 292, No. 8, 1811--1822 (2019; Zbl 07119619) Full Text: DOI arXiv
Schmelzer, Bernhard Multivariate capacity functionals vs. capacity functionals on product spaces. (English) Zbl 1423.60031 Fuzzy Sets Syst. 364, 1-35 (2019). MSC: 60D05 28A12 28A35 60E05 PDF BibTeX XML Cite \textit{B. Schmelzer}, Fuzzy Sets Syst. 364, 1--35 (2019; Zbl 1423.60031) Full Text: DOI
Gwynne, Ewain; Miller, Jason Metric gluing of Brownian and \(\sqrt{8/3}\)-Liouville quantum gravity surfaces. (English) Zbl 07114718 Ann. Probab. 47, No. 4, 2303-2358 (2019). MSC: 60D05 60J67 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Miller}, Ann. Probab. 47, No. 4, 2303--2358 (2019; Zbl 07114718) Full Text: DOI Euclid arXiv
Ambrosio, Luigi; Glaudo, Federico Finer estimates on the \(2\)-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) (English. French summary) Zbl 1434.60054 J. Éc. Polytech., Math. 6, 737-765 (2019). MSC: 60D05 49J55 60H15 PDF BibTeX XML Cite \textit{L. Ambrosio} and \textit{F. Glaudo}, J. Éc. Polytech., Math. 6, 737--765 (2019; Zbl 1434.60054) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls. (English) Zbl 1431.60011 Bernoulli 25, No. 4A, 3139-3174 (2019). MSC: 60D05 60F05 60F10 60G15 PDF BibTeX XML Cite \textit{D. Alonso-Gutiérrez} et al., Bernoulli 25, No. 4A, 3139--3174 (2019; Zbl 1431.60011) Full Text: DOI Euclid
Hutchcroft, Tom; Peres, Yuval The component graph of the uniform spanning forest: transitions in dimensions \(9,10,11,\ldots\). (English) Zbl 07109859 Probab. Theory Relat. Fields 175, No. 1-2, 141-208 (2019). MSC: 60D05 60K35 PDF BibTeX XML Cite \textit{T. Hutchcroft} and \textit{Y. Peres}, Probab. Theory Relat. Fields 175, No. 1--2, 141--208 (2019; Zbl 07109859) Full Text: DOI arXiv
Budzinski, Thomas Supercritical causal maps: geodesics and simple random walk. (English) Zbl 07107393 Electron. J. Probab. 24, Paper No. 86, 43 p. (2019). MSC: 60D05 PDF BibTeX XML Cite \textit{T. Budzinski}, Electron. J. Probab. 24, Paper No. 86, 43 p. (2019; Zbl 07107393) Full Text: DOI Euclid arXiv
Le Gall, Jean-François Brownian geometry. (English) Zbl 07107324 Jpn. J. Math. (3) 14, No. 2, 135-174 (2019). MSC: 60D05 05C80 05C10 60C05 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, Jpn. J. Math. (3) 14, No. 2, 135--174 (2019; Zbl 07107324) Full Text: DOI arXiv
Gwynne, Ewain; Pfeffer, Joshua Bounds for distances and geodesic dimension in Liouville first passage percolation. (English) Zbl 07107320 Electron. Commun. Probab. 24, Paper No. 56, 12 p. (2019). MSC: 60D05 60G15 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Pfeffer}, Electron. Commun. Probab. 24, Paper No. 56, 12 p. (2019; Zbl 07107320) Full Text: DOI Euclid arXiv
Hutchcroft, Tom; Nachmias, Asaf Uniform spanning forests of planar graphs. (English) Zbl 1422.60022 Forum Math. Sigma 7, Paper No. e29, 55 p. (2019). MSC: 60D05 05C10 PDF BibTeX XML Cite \textit{T. Hutchcroft} and \textit{A. Nachmias}, Forum Math. Sigma 7, Paper No. e29, 55 p. (2019; Zbl 1422.60022) Full Text: DOI arXiv
Grong, Erlend; Thalmaier, Anton Stochastic completeness and gradient representations for Sub-Riemannian manifolds. (English) Zbl 07086015 Potential Anal. 51, No. 2, 219-254 (2019). MSC: 60D05 35P99 53C17 47B25 PDF BibTeX XML Cite \textit{E. Grong} and \textit{A. Thalmaier}, Potential Anal. 51, No. 2, 219--254 (2019; Zbl 07086015) Full Text: DOI arXiv
Götze, Friedrich; Gusakova, Anna; Zaporozhets, Dmitry Random affine simplexes. (English) Zbl 1447.60033 J. Appl. Probab. 56, No. 1, 39-51 (2019). Reviewer: Florian Pausinger (Belfast) MSC: 60D05 52A22 60B20 52A39 PDF BibTeX XML Cite \textit{F. Götze} et al., J. Appl. Probab. 56, No. 1, 39--51 (2019; Zbl 1447.60033) Full Text: DOI
Nguyen, Van Hoang A simple proof of the moment-entropy inequalities. (English) Zbl 1416.60021 Adv. Appl. Math. 108, 31-44 (2019). MSC: 60D05 94A17 52A40 PDF BibTeX XML Cite \textit{V. H. Nguyen}, Adv. Appl. Math. 108, 31--44 (2019; Zbl 1416.60021) Full Text: DOI
Kabluchko, Zakhar; Zaporozhets, Dmitry Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. (English) Zbl 07076088 Trans. Am. Math. Soc. 372, No. 3, 1709-1733 (2019). MSC: 60D05 52A22 60G15 52A23 60G70 51M20 PDF BibTeX XML Cite \textit{Z. Kabluchko} and \textit{D. Zaporozhets}, Trans. Am. Math. Soc. 372, No. 3, 1709--1733 (2019; Zbl 07076088) Full Text: DOI arXiv
Reitzner, Matthias; Schneider, Rolf On the cells in a stationary Poisson hyperplane mosaic. (English) Zbl 1422.60023 Adv. Geom. 19, No. 2, 145-150 (2019). MSC: 60D05 51M20 52C22 PDF BibTeX XML Cite \textit{M. Reitzner} and \textit{R. Schneider}, Adv. Geom. 19, No. 2, 145--150 (2019; Zbl 1422.60023) Full Text: DOI arXiv
Schrempp, Michael Limit laws for the diameter of a set of random points from a distribution supported by a smoothly bounded set. (English) Zbl 1432.60024 Extremes 22, No. 1, 167-191 (2019). MSC: 60D05 60F05 60G55 60G70 PDF BibTeX XML Cite \textit{M. Schrempp}, Extremes 22, No. 1, 167--191 (2019; Zbl 1432.60024) Full Text: DOI arXiv
Chapuy, Guillaume On tessellations of random maps and the \(t_g\)-recurrence. (English) Zbl 1427.60021 Probab. Theory Relat. Fields 174, No. 1-2, 477-500 (2019). MSC: 60D05 05B45 PDF BibTeX XML Cite \textit{G. Chapuy}, Probab. Theory Relat. Fields 174, No. 1--2, 477--500 (2019; Zbl 1427.60021) Full Text: DOI arXiv
Davis, Erik; Sethuraman, Sunder Approximating geodesics via random points. (English) Zbl 07057459 Ann. Appl. Probab. 29, No. 3, 1446-1486 (2019). MSC: 60D05 58E10 62-07 49J55 49J45 53C22 05C82 PDF BibTeX XML Cite \textit{E. Davis} and \textit{S. Sethuraman}, Ann. Appl. Probab. 29, No. 3, 1446--1486 (2019; Zbl 07057459) Full Text: DOI Euclid arXiv
Feng, Renjie Correlations between zeros and critical points of random analytic functions. (English) Zbl 07050777 Trans. Am. Math. Soc. 371, No. 8, 5247-5265 (2019). MSC: 60D05 32Q15 PDF BibTeX XML Cite \textit{R. Feng}, Trans. Am. Math. Soc. 371, No. 8, 5247--5265 (2019; Zbl 07050777) Full Text: DOI arXiv
Gwynne, Ewain; Miller, Jason Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk. (English. French summary) Zbl 07039779 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 551-589 (2019). MSC: 60D05 60F17 05C80 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Miller}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 551--589 (2019; Zbl 07039779) Full Text: DOI Euclid arXiv
Le Gall, Jean-François Brownian disks and the Brownian snake. (English. French summary) Zbl 07039771 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 237-313 (2019). MSC: 60D05 60C05 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 237--313 (2019; Zbl 07039771) Full Text: DOI Euclid arXiv
Cristali, Irina; Junge, Matthew; Durrett, Rick Poisson percolation on the square lattice. (English) Zbl 07037571 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 429-437 (2019). MSC: 60D05 PDF BibTeX XML Cite \textit{I. Cristali} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 429--437 (2019; Zbl 07037571) Full Text: Link arXiv
Goel, Akshay; Trinh, Khanh Duy; Tsunoda, Kenkichi Strong law of large numbers for Betti numbers in the thermodynamic regime. (English) Zbl 1442.60020 J. Stat. Phys. 174, No. 4, 865-892 (2019). MSC: 60D05 60F15 PDF BibTeX XML Cite \textit{A. Goel} et al., J. Stat. Phys. 174, No. 4, 865--892 (2019; Zbl 1442.60020) Full Text: DOI
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario A PDE approach to a 2-dimensional matching problem. (English) Zbl 07030875 Probab. Theory Relat. Fields 173, No. 1-2, 433-477 (2019). MSC: 60D05 49J55 60H15 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Probab. Theory Relat. Fields 173, No. 1--2, 433--477 (2019; Zbl 07030875) Full Text: DOI arXiv
Strömbergsson, Andreas; Södergren, Anders On the generalized circle problem for a random lattice in large dimension. (English) Zbl 07021562 Adv. Math. 345, 1042-1074 (2019). MSC: 60D05 11H06 60F05 60F17 PDF BibTeX XML Cite \textit{A. Strömbergsson} and \textit{A. Södergren}, Adv. Math. 345, 1042--1074 (2019; Zbl 07021562) Full Text: DOI
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. (English) Zbl 1442.60021 Bernoulli 25, No. 1, 521-548 (2019). MSC: 60D05 52A22 52C35 60F05 PDF BibTeX XML Cite \textit{Z. Kabluchko} et al., Bernoulli 25, No. 1, 521--548 (2019; Zbl 1442.60021) Full Text: DOI Euclid arXiv
Maehara, H.; Martini, H. An analogue of Sylvester’s four-point problem on the sphere. (English) Zbl 1449.60013 Acta Math. Hung. 155, No. 2, 479-488 (2018). MSC: 60D05 52C35 PDF BibTeX XML Cite \textit{H. Maehara} and \textit{H. Martini}, Acta Math. Hung. 155, No. 2, 479--488 (2018; Zbl 1449.60013) Full Text: DOI
Martínez, Servet; Nagel, Werner Regenerative processes for Poisson zero polytopes. (English) Zbl 1431.60014 Adv. Appl. Probab. 50, No. 4, 1217-1226 (2018). MSC: 60D05 60J25 60J74 37A25 37A35 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{W. Nagel}, Adv. Appl. Probab. 50, No. 4, 1217--1226 (2018; Zbl 1431.60014) Full Text: DOI
Kiderlen, Markus; Rataj, Jan Dilation volumes of sets of finite perimeter. (English) Zbl 1440.60012 Adv. Appl. Probab. 50, No. 4, 1095-1118 (2018). MSC: 60D05 26B30 28A75 PDF BibTeX XML Cite \textit{M. Kiderlen} and \textit{J. Rataj}, Adv. Appl. Probab. 50, No. 4, 1095--1118 (2018; Zbl 1440.60012) Full Text: DOI
Ahlberg, Daniel; Tykesson, Johan Gilbert’s disc model with geostatistical marking. (English) Zbl 1431.60010 Adv. Appl. Probab. 50, No. 4, 1075-1094 (2018). MSC: 60D05 60K35 60K37 PDF BibTeX XML Cite \textit{D. Ahlberg} and \textit{J. Tykesson}, Adv. Appl. Probab. 50, No. 4, 1075--1094 (2018; Zbl 1431.60010) Full Text: DOI
Houdebert, Pierre Percolation results for the continuum random cluster model. (English) Zbl 1431.60013 Adv. Appl. Probab. 50, No. 1, 231-244 (2018). MSC: 60D05 60G10 60G55 60G57 60G60 60K35 82B21 82B26 82B43 PDF BibTeX XML Cite \textit{P. Houdebert}, Adv. Appl. Probab. 50, No. 1, 231--244 (2018; Zbl 1431.60013) Full Text: DOI
Chenavier, Nicolas; Devillers, Olivier Stretch factor in a planar Poisson-Delaunay triangulation with a large intensity. (English) Zbl 1431.60012 Adv. Appl. Probab. 50, No. 1, 35-56 (2018). MSC: 60D05 05C80 PDF BibTeX XML Cite \textit{N. Chenavier} and \textit{O. Devillers}, Adv. Appl. Probab. 50, No. 1, 35--56 (2018; Zbl 1431.60012) Full Text: DOI
Memarian, Yashar A geometric approach to radial correlation type problems. (English) Zbl 1428.60028 Far East J. Appl. Math. 98, No. 2, 83-137 (2018). MSC: 60D05 PDF BibTeX XML Cite \textit{Y. Memarian}, Far East J. Appl. Math. 98, No. 2, 83--137 (2018; Zbl 1428.60028) Full Text: DOI arXiv
Dodson, C. T. J. Information distance estimation between mixtures of multivariate Gaussians. (English) Zbl 1426.60011 AIMS Math. 3, No. 4, 439-447 (2018). MSC: 60D05 53B20 PDF BibTeX XML Cite \textit{C. T. J. Dodson}, AIMS Math. 3, No. 4, 439--447 (2018; Zbl 1426.60011) Full Text: DOI
Zorich, V. A. Geometry and probability. (English. Russian original) Zbl 1426.60012 Theory Probab. Appl. 62, No. 2, 236-251 (2018); translation from Teor. Veroyatn. Primen. 62, No. 2, 292-310 (2017). MSC: 60D05 60-02 60F15 PDF BibTeX XML Cite \textit{V. A. Zorich}, Theory Probab. Appl. 62, No. 2, 236--251 (2018; Zbl 1426.60012); translation from Teor. Veroyatn. Primen. 62, No. 2, 292--310 (2017) Full Text: DOI
Caristi, G.; Pettineo, M.; Puglisi, A. Hitting probabilities for non-convex lattice. (English) Zbl 1438.60007 J. Nonlinear Sci. Appl. 11, No. 4, 486-489 (2018). MSC: 60D05 52A22 PDF BibTeX XML Cite \textit{G. Caristi} et al., J. Nonlinear Sci. Appl. 11, No. 4, 486--489 (2018; Zbl 1438.60007) Full Text: DOI
Holden, Nina; Peres, Yuval; Zhai, Alex Gravitational allocation on the sphere. (English) Zbl 1419.60010 Proc. Natl. Acad. Sci. USA 115, No. 39, 9666-9671 (2018). MSC: 60D05 60C05 PDF BibTeX XML Cite \textit{N. Holden} et al., Proc. Natl. Acad. Sci. USA 115, No. 39, 9666--9671 (2018; Zbl 1419.60010) Full Text: DOI
Dereudre, David; Penrose, Mathew On the critical threshold for continuum AB percolation. (English) Zbl 1405.60020 J. Appl. Probab. 55, No. 4, 1228-1237 (2018). MSC: 60D05 60K35 82B43 PDF BibTeX XML Cite \textit{D. Dereudre} and \textit{M. Penrose}, J. Appl. Probab. 55, No. 4, 1228--1237 (2018; Zbl 1405.60020) Full Text: DOI
Chenavier, Nicolas; Robert, Christian Y. Cluster size distributions of extreme values for the Poisson-Voronoi tessellation. (English) Zbl 1404.60024 Ann. Appl. Probab. 28, No. 6, 3291-3323 (2018). MSC: 60D05 62G32 60G70 60F05 PDF BibTeX XML Cite \textit{N. Chenavier} and \textit{C. Y. Robert}, Ann. Appl. Probab. 28, No. 6, 3291--3323 (2018; Zbl 1404.60024) Full Text: DOI Euclid
Flimmel, Daniela; Beneš, Viktor Gaussian approximation for functionals of Gibbs particle processes. (English) Zbl 1449.60012 Kybernetika 54, No. 4, 765-777 (2018). MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{D. Flimmel} and \textit{V. Beneš}, Kybernetika 54, No. 4, 765--777 (2018; Zbl 1449.60012) Full Text: DOI
Beliaev, Dmitry; Wigman, Igor Volume distribution of nodal domains of random band-limited functions. (English) Zbl 1404.60023 Probab. Theory Relat. Fields 172, No. 1-2, 453-492 (2018). MSC: 60D05 60F99 35P20 60G60 PDF BibTeX XML Cite \textit{D. Beliaev} and \textit{I. Wigman}, Probab. Theory Relat. Fields 172, No. 1--2, 453--492 (2018; Zbl 1404.60023) Full Text: DOI arXiv
Kolesnikov, Alexander V.; Milman, Emanuel The KLS isoperimetric conjecture for generalized Orlicz balls. (English) Zbl 1433.60005 Ann. Probab. 46, No. 6, 3578-3615 (2018). Reviewer: Weiping Li (Stillwater) MSC: 60D05 52A23 46B07 PDF BibTeX XML Cite \textit{A. V. Kolesnikov} and \textit{E. Milman}, Ann. Probab. 46, No. 6, 3578--3615 (2018; Zbl 1433.60005) Full Text: DOI Euclid arXiv
Banerjee, Sayan; Gordina, Maria; Mariano, Phanuel Coupling in the Heisenberg group and its applications to gradient estimates. (English) Zbl 1441.60013 Ann. Probab. 46, No. 6, 3275-3312 (2018). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60H30 PDF BibTeX XML Cite \textit{S. Banerjee} et al., Ann. Probab. 46, No. 6, 3275--3312 (2018; Zbl 1441.60013) Full Text: DOI Euclid arXiv
Edelsbrunner, Herbert; Nikitenko, Anton Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. (English) Zbl 1402.60017 Ann. Appl. Probab. 28, No. 5, 3215-3238 (2018). MSC: 60D05 68U05 PDF BibTeX XML Cite \textit{H. Edelsbrunner} and \textit{A. Nikitenko}, Ann. Appl. Probab. 28, No. 5, 3215--3238 (2018; Zbl 1402.60017) Full Text: DOI Euclid arXiv