Gharakhloo, Roozbeh; Liechty, Karl Bordered and Framed Toeplitz and Hankel Determinants with Applications to Integrable Probability. arXiv:2401.01971 Preprint, arXiv:2401.01971 [math.CA] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Gorin, Vadim; Liechty, Karl Boundary statistics for the six-vertex model with DWBC. arXiv:2310.12735 Preprint, arXiv:2310.12735 [math.PR] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Liechty, Karl; Petersen, T. Kyle Monotone subsets in lattices and the Schensted shape of a Sós permutation. (English) Zbl 1508.11067 Comb. Theory 2, No. 2, Paper No. 9, 41 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11H06 11B57 11K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liechty, Karl; Nguyen, Gia Bao; Remenik, Daniel Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy-Widom GOE distribution. (English. French summary) Zbl 1498.60037 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 2250-2283 (2022). MSC: 60B20 60J65 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liechty, Karl; Wang, Dong Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model. (English. French summary) Zbl 1447.82014 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1072-1098 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B26 15B52 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Geronimo, J. S.; Liechty, Karl The Fourier extension method and discrete orthogonal polynomials on an arc of the circle. (English) Zbl 07184866 Adv. Math. 365, Article ID 107064, 57 p. (2020). MSC: 65T40 42A10 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buckingham, Robert; Liechty, Karl The \(k\)-tacnode process. (English) Zbl 1422.60137 Probab. Theory Relat. Fields 175, No. 1-2, 341-395 (2019). MSC: 60J65 35Q15 42C05 33E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buckingham, Robert; Liechty, Karl Nonintersecting Brownian bridges on the unit circle with drift. (English) Zbl 1442.60080 J. Funct. Anal. 276, No. 6, 1717-1772 (2019). MSC: 60J65 15B52 42C05 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Claeys, Tom; Kuijlaars, Arno B. J.; Liechty, Karl; Wang, Dong Propagation of singular behavior for Gaussian perturbations of random matrices. (English) Zbl 1410.60011 Commun. Math. Phys. 362, No. 1, 1-54 (2018). MSC: 60B20 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Domain wall six-vertex model with half-turn symmetry. (English) Zbl 1391.82007 Constr. Approx. 47, No. 1, 141-162 (2018). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B23 35Q15 35C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liechty, Karl; Wang, Dong Nonintersecting Brownian bridges between reflecting or absorbing walls. (English) Zbl 1407.60111 Adv. Math. 309, 155-208 (2017). MSC: 60J65 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liechty, Karl; Wang, Dong Two Lax systems for the Painlevé II equation, and two related kernels in random matrix theory. (English) Zbl 1353.34111 SIAM J. Math. Anal. 48, No. 5, 3618-3666 (2016). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M55 33E17 30E20 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liechty, Karl; Wang, Dong Nonintersecting Brownian motions on the unit circle. (English) Zbl 1342.60138 Ann. Probab. 44, No. 2, 1134-1211 (2016). Reviewer: Weiping Li (Stillwater) MSC: 60J65 60K35 60G15 35Q15 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bleher, Pavel; Liechty, Karl Six-vertex model with partial domain wall boundary conditions: ferroelectric phase. (English) Zbl 1334.82077 J. Math. Phys. 56, No. 2, 023302, 28 p. (2015). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82D45 82B20 82B26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Riemann-Hilbert approach to the six-vertex model. (English) Zbl 1329.82020 Deift, Percy (ed.) et al., Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). Mathematical Sciences Research Institute Publications 65, 39-56 (2014). MSC: 82B20 60B20 15B52 35Q15 16T25 × Cite Format Result Cite Review PDF Full Text: arXiv
Bleher, Pavel; Liechty, Karl Random matrices and the six-vertex model. (English) Zbl 1279.82001 CRM Monograph Series 32. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0961-6/hbk). ix, 224 p. (2014). MSC: 82-02 82B23 60B20 15B52 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Bothner, Thomas; Liechty, Karl Tail decay for the distribution of the endpoint of a directed polymer. (English) Zbl 1268.82045 Nonlinearity 26, No. 5, 1449-1472 (2013). MSC: 82D60 82B20 60K35 37A50 35Q15 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baik, Jinho; Liechty, Karl; Schehr, Grégory On the joint distribution of the maximum and its position of the Airy\({}_2\) process minus a parabola. (English) Zbl 1278.82070 J. Math. Phys. 53, No. 8, 083303, 13 p. (2012). MSC: 82D60 82D30 82C43 82C31 34M55 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Uniform asymptotics for discrete orthogonal polynomials with respect to varying exponential weights on a regular infinite lattice. (English) Zbl 1213.33013 Int. Math. Res. Not. 2011, No. 2, 342-386 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Exact solution of the six-vertex model with domain wall boundary conditions: antiferroelectric phase. (English) Zbl 1192.82015 Commun. Pure Appl. Math. 63, No. 6, 779-829 (2010). MSC: 82B20 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase. (English) Zbl 1173.82009 Commun. Math. Phys. 286, No. 2, 777-801 (2009). MSC: 82B23 82B20 35Q15 30E25 82D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between ferroelectric and disordered phases. (English) Zbl 1165.82305 J. Stat. Phys. 134, No. 3, 463-485 (2009). MSC: 82B26 82B44 82D45 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv