Found 103 Documents (Results 1–100)
Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles. (English) Zbl 1537.15035
Law of large numbers for the maximum of the two-dimensional Coulomb gas potential. (English) Zbl 1536.82003
Exceptional points of discrete-time random walks in planar domains. (English) Zbl 1537.60052
Reviewer: Pavel Stoynov (Sofia)
The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal. (English) Zbl 07788703
Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime. (English) Zbl 1535.81159
Probabilistic construction of Toda conformal field theories. (Construction probabiliste des théories conformes des champs de Toda.) (English. French summary) Zbl 1516.60006
Strong approximation of Gaussian \(\beta\) ensemble characteristic polynomials: the hyperbolic regime. (English) Zbl 1517.60013
Reviewer: Guanggan Chen (Chengdu)
On the Davis-Monroe problem. (English. Russian original) Zbl 1528.60086
Russ. Math. Surv. 77, No. 6, 1155-1157 (2022); translation from Usp. Mat. Nauk 77, No. 6, 207-208 (2022).
The semiclassical limit of Liouville conformal field theory. (English. French summary) Zbl 1513.81115
On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective. (English) Zbl 1502.60006
High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos. (English) Zbl 1498.60335
Reviewer: Ravi Sreenivasan (Mysore)
A conjectural asymptotic formula for multiplicative chaos in number theory. (English) Zbl 1489.11146
Schauder estimates for fractional Laplacians and nonlocal, one-dimensional singular SPDEs. (English) Zbl 1492.60198
Reviewer: Martin Ondreját (Praha)
A universality result for subcritical complex Gaussian multiplicative chaos. (English) Zbl 1494.37032
The Riemann-Liouville field and its GMC as \(H \to 0\), and skew flattening for the rough Bergomi model. (English) Zbl 1478.60152
Dynamical fractional and multifractal fields. (English) Zbl 1507.35161
Reviewer: Alain Brillard (Riedisheim)
A family of probability distributions consistent with the DOZZ formula: towards a conjecture for the law of 2D GMC. (English) Zbl 1483.60027
Unit boundary length quantum disk: a study of two different perspectives and their equivalence. (English) Zbl 1482.60012
Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications. (English) Zbl 1468.60033
Brownian loops, layering fields and imaginary Gaussian multiplicative chaos. (English) Zbl 1477.60078
Reviewer: Oleg K. Zakusilo (Kyïv)
On the multiplicative chaos of non-Gaussian log-correlated fields. (English) Zbl 1483.60073
MSC:
60G60
Imaginary multiplicative chaos: moments, regularity and connections to the Ising model. (English) Zbl 1472.60064
The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line. (English) Zbl 1469.60162
Gaussian multiplicative chaos through the lens of the 2D Gaussian free field. (English) Zbl 1457.60070
On the Riemann zeta function and Gaussian multiplicative chaos. (English) Zbl 1443.60041
Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 473-496 (2020).
Extrema of the two-dimensional discrete Gaussian free field. (English) Zbl 1443.60036
Barlow, Martin T. (ed.) et al., Random graphs, phase transitions, and the Gaussian free field. Lecture notes given at the PIMS-CRM summer school in probability, University of British Columbia, Vancouver, Canada, June 5–30, 2017. Cham: Springer. Springer Proc. Math. Stat. 304, 163-407 (2020).
Multiplicative chaos and the characteristic polynomial of the CUE: the \(L^1\)-phase. (English) Zbl 1441.60008
Liouville measure as a multiplicative cascade via level sets of the Gaussian free field. (Mesure de Liouville comme une cascade multiplicative via les ensembles de niveau du champ libre Gaussien.) (English. French summary) Zbl 1444.60039
Continuum directed random polymers on disordered hierarchical diamond lattices. (English) Zbl 1475.82022
Integrability of Liouville theory: proof of the DOZZ formula. (English) Zbl 1432.81055
Reviewer: Alex B. Gaina (Chisinau)
Moments of random multiplicative functions. I: Low moments, better than squareroot cancellation, and critical multiplicative chaos. (English) Zbl 1472.11254
Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. (English) Zbl 1432.60088
The tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient. (English) Zbl 1448.60108
MSC:
60G57
Schrödinger equation with Gaussian potential. (English) Zbl 1488.60084
Theory Probab. Math. Stat. 98, 115-126 (2019) and Teor. Jmovirn. Mat. Stat. 98, 109-120 (2018).
Exact dimensionality and projection properties of Gaussian multiplicative chaos measures. (English) Zbl 1462.28006
A review of conjectured laws of total mass of Bacry-Muzy GMC measures on the interval and circle and their applications. (English) Zbl 1416.33003
Liouville quantum gravity on the unit disk. (English. French summary) Zbl 1404.60071
Subcritical multiplicative chaos for regularized counting statistics from random matrix theory. (English) Zbl 1434.60031
Reviewer: Zakhar Kabluchko (Münster)
Liouville Brownian motion and thick points of the Gaussian free field. (English. French summary) Zbl 1396.60089
Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. (English) Zbl 1390.60182
Log-correlated Gaussian fields: an overview. (English) Zbl 1366.60023
Bost, Jean-Benoît (ed.) et al., Geometry, analysis and probability. In Honor of Jean-Michel Bismut. Selected papers based on the presentations at the conference ‘Control, index, traces and determinants – the journey of a probabilist’, Orsay, France, May 27–31, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-49636-8/hbk; 978-3-319-49638-2/ebook). Progress in Mathematics 310, 191-216 (2017).
Thick points for Gaussian free fields with different cut-offs. (English. French summary) Zbl 1361.60036
On Barnes beta distributions and applications to the maximum distribution of the 2D Gaussian free field. (English) Zbl 1351.60019
Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions. (English) Zbl 1353.60073
Liouville heat kernel: regularity and bounds. (English. French summary) Zbl 1359.35088
Reviewer: Max Fathi (Toulouse)
Weak and strong disorder for the stochastic heat equation and continuous directed polymers in \(d\geq 3\). (English) Zbl 1348.60094
Liouville Brownian motion. (English) Zbl 1393.60015
On the distribution of the maximum value of the characteristic polynomial of GUE random matrices. (English) Zbl 1350.15020
Liouville quantum gravity on complex tori. (English) Zbl 1362.81082
Reviewer: Luca Giorgetti (Roma)
Convergence of the spectrum of empirical covariance matrices for independent MRW processes. (English) Zbl 1331.60015
Maximum of a log-correlated Gaussian field. (English. French summary) Zbl 1329.60138
The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos – the \(L^2\)-phase. (English) Zbl 1328.15052
Complex Gaussian multiplicative chaos. (English) Zbl 1322.60065
Reviewer: Ivan Podvigin (Novosibirsk)
Gaussian multiplicative chaos and applications: a review. (English) Zbl 1316.60073
Reviewer: Jacques Franchi (Strasbourg)
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. (English) Zbl 1306.60055
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. (English) Zbl 1297.60033
Reviewer: Guy Jumarie (Montréal)
Levy multiplicative chaos and star scale invariant random measures. (English) Zbl 1295.60064
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
Lognormal \(\star\)-scale invariant random measures. (English) Zbl 1278.60083
Reviewer: Elisa Alòs (Barcelona)
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