Bates, Erik Empirical measures, geodesic lengths, and a variational formula in first-passage percolation. (English) Zbl 07807562 Memoirs of the American Mathematical Society 1460. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6791-3/pbk; 978-1-4704-7717-2/ebook). v, 92 p. (2024). MSC: 60-02 60K35 60K37 60J80 82B43 PDFBibTeX XMLCite \textit{E. Bates}, Empirical measures, geodesic lengths, and a variational formula in first-passage percolation. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07807562) Full Text: DOI arXiv
Gatea, Alexandru Grid entropy in last passage percolation – a superadditive critical exponent approach. (English) Zbl 07800504 Stochastic Processes Appl. 169, Article ID 104271, 30 p. (2024). MSC: 60-XX PDFBibTeX XMLCite \textit{A. Gatea}, Stochastic Processes Appl. 169, Article ID 104271, 30 p. (2024; Zbl 07800504) Full Text: DOI arXiv
Alevy, Ian; Krishnan, Arjun Negative correlation of adjacent Busemann increments. (English. French summary) Zbl 1503.60141 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 1942-1958 (2022). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{I. Alevy} and \textit{A. Krishnan}, Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 1942--1958 (2022; Zbl 1503.60141) Full Text: DOI arXiv Link
Janjigian, Christopher; Nurbavliyev, Sergazy; Rassoul-Agha, Firas A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential. (English. French summary) Zbl 1492.60280 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 1010-1040 (2022). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{C. Janjigian} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 1010--1040 (2022; Zbl 1492.60280) Full Text: DOI arXiv
Bakhtin, Yuri; Chen, Hong-Bin Dynamic polymers: invariant measures and ordering by noise. (English) Zbl 1502.37079 Probab. Theory Relat. Fields 183, No. 1-2, 167-227 (2022). MSC: 37L40 37L55 35R60 37H10 60K35 60K37 82D60 PDFBibTeX XMLCite \textit{Y. Bakhtin} and \textit{H.-B. Chen}, Probab. Theory Relat. Fields 183, No. 1--2, 167--227 (2022; Zbl 1502.37079) Full Text: DOI arXiv
Ciech, Federico; Georgiou, Nicos Last passage percolation in an exponential environment with discontinuous rates. (English) Zbl 1487.60177 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2165-2188 (2021). MSC: 60K35 PDFBibTeX XMLCite \textit{F. Ciech} and \textit{N. Georgiou}, Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2165--2188 (2021; Zbl 1487.60177) Full Text: DOI arXiv
Ahlberg, Daniel Existence and coexistence in first-passage percolation. (English) Zbl 1469.60298 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 1-15 (2021). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{D. Ahlberg}, Prog. Probab. 77, 1--15 (2021; Zbl 1469.60298) Full Text: DOI arXiv
Emrah, Elnur; Janjigian, Christopher; Seppäläinen, Timo Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model. (English) Zbl 1491.60175 Electron. J. Probab. 26, Paper No. 33, 45 p. (2021). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{E. Emrah} et al., Electron. J. Probab. 26, Paper No. 33, 45 p. (2021; Zbl 1491.60175) Full Text: DOI arXiv
Alberts, Tom; Cator, Eric On the passage time geometry of the last passage percolation problem. (English) Zbl 1466.60015 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 211-247 (2021). MSC: 60D05 60K35 06A11 PDFBibTeX XMLCite \textit{T. Alberts} and \textit{E. Cator}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 211--247 (2021; Zbl 1466.60015) Full Text: arXiv Link
Bates, Erik; Chatterjee, Sourav Localization in Gaussian disordered systems at low temperature. (English) Zbl 1456.60270 Ann. Probab. 48, No. 6, 2755-2806 (2020). MSC: 60K37 60G15 60G17 82B44 82D30 82D60 PDFBibTeX XMLCite \textit{E. Bates} and \textit{S. Chatterjee}, Ann. Probab. 48, No. 6, 2755--2806 (2020; Zbl 1456.60270) Full Text: DOI arXiv Euclid
Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan Half-space Macdonald processes. (English) Zbl 1445.60071 Forum Math. Pi 8, Paper No. e11, 150 p. (2020). MSC: 60K35 05E05 82B23 60B20 82C22 35R60 PDFBibTeX XMLCite \textit{G. Barraquand} et al., Forum Math. Pi 8, Paper No. e11, 150 p. (2020; Zbl 1445.60071) Full Text: DOI arXiv
Bates, Erik; Chatterjee, Sourav The endpoint distribution of directed polymers. (English) Zbl 1444.60087 Ann. Probab. 48, No. 2, 817-871 (2020). MSC: 60K37 82B26 82B44 82D60 PDFBibTeX XMLCite \textit{E. Bates} and \textit{S. Chatterjee}, Ann. Probab. 48, No. 2, 817--871 (2020; Zbl 1444.60087) Full Text: DOI arXiv Euclid
Janjigian, Christopher; Rassoul-Agha, Firas Busemann functions and Gibbs measures in directed polymer models on \(\mathbb{Z}^2 \). (English) Zbl 1444.60083 Ann. Probab. 48, No. 2, 778-816 (2020). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{C. Janjigian} and \textit{F. Rassoul-Agha}, Ann. Probab. 48, No. 2, 778--816 (2020; Zbl 1444.60083) Full Text: DOI arXiv Euclid
Kosygina, Elena; Yilmaz, Atilla; Zeitouni, Ofer Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential. (English) Zbl 1437.35046 Commun. Partial Differ. Equations 45, No. 1, 32-56 (2020). MSC: 35B27 35F21 60K37 93E20 PDFBibTeX XMLCite \textit{E. Kosygina} et al., Commun. Partial Differ. Equations 45, No. 1, 32--56 (2020; Zbl 1437.35046) Full Text: DOI arXiv
Chaika, Jon; Krishnan, Arjun Stationary coalescing walks on the lattice. (English) Zbl 1434.37004 Probab. Theory Relat. Fields 175, No. 3-4, 655-675 (2019). MSC: 37A50 37A05 60K35 60K37 82B43 PDFBibTeX XMLCite \textit{J. Chaika} and \textit{A. Krishnan}, Probab. Theory Relat. Fields 175, No. 3--4, 655--675 (2019; Zbl 1434.37004) Full Text: DOI arXiv
Balázs, Márton; Rassoul-Agha, Firas; Seppäläinen, Timo Large deviations and wandering exponent for random walk in a dynamic beta environment. (English) Zbl 1466.60196 Ann. Probab. 47, No. 4, 2186-2229 (2019). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{M. Balázs} et al., Ann. Probab. 47, No. 4, 2186--2229 (2019; Zbl 1466.60196) Full Text: DOI arXiv Euclid
Ciech, Federico; Georgiou, Nicos Order of the variance in the discrete Hammersley process with boundaries. (English) Zbl 1488.60228 J. Stat. Phys. 176, No. 3, 591-638 (2019). MSC: 60K35 PDFBibTeX XMLCite \textit{F. Ciech} and \textit{N. Georgiou}, J. Stat. Phys. 176, No. 3, 591--638 (2019; Zbl 1488.60228) Full Text: DOI arXiv
Seppäläinen, Timo The corner growth model with exponential weights. (English) Zbl 1423.60164 Damron, Michael (ed.) et al., Random growth models. AMS short course “Random Growth Models”, Atlanta, GA, USA, January 2–3, 2017. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 75, 133-201 (2018). MSC: 60K35 60K37 82B43 PDFBibTeX XMLCite \textit{T. Seppäläinen}, Proc. Symp. Appl. Math. 75, 133--201 (2018; Zbl 1423.60164) Full Text: DOI
Bakhtin, Yuri; Li, Liying Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation. (English) Zbl 1401.82061 J. Stat. Phys. 172, No. 5, 1358-1397 (2018). MSC: 82D60 82B43 35Q53 35R60 PDFBibTeX XMLCite \textit{Y. Bakhtin} and \textit{L. Li}, J. Stat. Phys. 172, No. 5, 1358--1397 (2018; Zbl 1401.82061) Full Text: DOI arXiv
Georgiou, Nicos; Ortmann, Janosch Optimality regions and fluctuations for Bernoulli last passage models. (English) Zbl 1394.60100 Math. Phys. Anal. Geom. 21, No. 3, Paper No. 22, 29 p. (2018). MSC: 60K35 PDFBibTeX XMLCite \textit{N. Georgiou} and \textit{J. Ortmann}, Math. Phys. Anal. Geom. 21, No. 3, Paper No. 22, 29 p. (2018; Zbl 1394.60100) Full Text: DOI arXiv
Bates, Erik Localization of directed polymers with general reference walk. (English) Zbl 1390.60359 Electron. J. Probab. 23, Paper No. 30, 45 p. (2018). MSC: 60K37 82B26 82B44 82D60 PDFBibTeX XMLCite \textit{E. Bates}, Electron. J. Probab. 23, Paper No. 30, 45 p. (2018; Zbl 1390.60359) Full Text: DOI arXiv Euclid
Georgiou, Nicos; Rassoul-Agha, Firas; Seppäläinen, Timo Stationary cocycles and Busemann functions for the corner growth model. (English) Zbl 1407.60122 Probab. Theory Relat. Fields 169, No. 1-2, 177-222 (2017). MSC: 60K35 60K37 PDFBibTeX XMLCite \textit{N. Georgiou} et al., Probab. Theory Relat. Fields 169, No. 1--2, 177--222 (2017; Zbl 1407.60122) Full Text: DOI arXiv
Thiery, Thimothée Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice. (English) Zbl 1353.82086 J. Stat. Phys. 165, No. 1, 44-85 (2016). MSC: 82D60 82B20 82B43 60K37 82-08 PDFBibTeX XMLCite \textit{T. Thiery}, J. Stat. Phys. 165, No. 1, 44--85 (2016; Zbl 1353.82086) Full Text: DOI arXiv
Krishnan, Arjun Variational formula for the time constant of first-passage percolation. (English) Zbl 1351.60129 Commun. Pure Appl. Math. 69, No. 10, 1984-2012 (2016). MSC: 60K35 82B43 49J35 PDFBibTeX XMLCite \textit{A. Krishnan}, Commun. Pure Appl. Math. 69, No. 10, 1984--2012 (2016; Zbl 1351.60129) Full Text: DOI arXiv