Fetching the paper…
Reading the bibliography…
Consider a continuous time random walk in $\mathbb{Z}$ with independent and exponentially distributed jumps $\pm1$.
Karlin, SamuelS. andMcGregor, JamesJ. (1959). Coincidence probabilities. Pacific J. Math. 9 1141–1164
1959
Earlier work this paper cites.
Szegő, GáborG. (1967). Orthogonal Polynomials, 3rd ed. American Mathematical Society Colloquium Publications 23. Amer. Math. Soc., Providence, RI
1967
Earlier work this paper cites.
Abramowitz, M.M. andStegun, I. A.I. A., eds. (1984). Pocketbook of Mathematical Functions. Verlag Harri Deutsch, Thun, Switzerland
1984
Earlier work this paper cites.
Tracy, Craig A.C. A. andWidom, HaroldH. (1994). Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 151–174
1994
Earlier work this paper cites.
Adler, MarkM. andvan Moerbeke, PierreP. (1997). String-orthogonal polynomials, string equations, and 2 2 -Toda symmetries. Comm. Pure Appl. Math. 50 241–290
1997
Earlier work this paper cites.
Eynard, BertrandB. andMehta, Madan LalM. L. (1998). Matrices coupled in a chain. I. Eigenvalue correlations. J. Phys. A 31 4449–4456
1998
Earlier work this paper cites.
Nagao, T.T. andForrester, P. J.P. J. (1998). Multilevel dynamical correlation functions for Dyson’s Brownian motion model of random matrices. Phys. Lett. A 247 42–46
1998
Earlier work this paper cites.
Tracy, Craig A.C. A. andWidom, HaroldH. (1998). Correlation functions, cluster functions, and spacing distributions for random matrices. J. Stat. Phys. 92 809–835
1998
Earlier work this paper cites.
Baik, JinhoJ., Deift, PercyP. andJohansson, KurtK. (1999). On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc. 12 1119–1178
1999
Earlier work this paper cites.
Borodin, AlexeiA. (1999). Biorthogonal ensembles. Nuclear Phys. B 536 704–732
1999
Earlier work this paper cites.
Baik, JinhoJ. andRains, Eric M.E. M. (2000). Limiting distributions for a polynuclear growth model with external sources. J. Stat. Phys. 100 523–541
2000
Earlier work this paper cites.
Borodin, AlexeiA. andOkounkov, AndreiA. (2000). A Fredholm determinant formula for Toeplitz determinants. Integral Equations Operator Theory 37 386–396
2000
Earlier work this paper cites.
Borodin, AlexeiA., Okounkov, AndreiA. andOlshanski, GrigoriG. (2000). Asymptotics of Plancherel measures for symmetric groups. J. Amer. Math. Soc. 13 481–515 (electronic)
2000
Earlier work this paper cites.
Landau, L. J.L. J. (2000). Bessel functions: Monotonicity and bounds. J. Lond. Math. Soc. (2) 61 197–215
2000
Earlier work this paper cites.
Adler, MarkM. andvan Moerbeke, PierreP. (2001). Integrals over classical groups, random permutations, Toda and Toeplitz lattices. Comm. Pure Appl. Math. 54 153–205
2001
Earlier work this paper cites.
Johansson, KurtK. (2002). Non-intersecting paths, random tilings and random matrices. Probab. Theory Related Fields 123 225–280
2002
Earlier work this paper cites.
Prähofer, MichaelM. andSpohn, HerbertH. (2002). Scale invariance of the PNG droplet and the Airy process. J. Stat. Phys. 108 1071–1106
2002
Earlier work this paper cites.
Ferrari, Patrik L.P. L. andSpohn, HerbertH. (2003). Step fluctuations for a faceted crystal. J. Stat. Phys. 113 1–46
2003
Earlier work this paper cites.
Johansson, KurtK. (2003). Discrete polynuclear growth and determinantal processes. Comm. Math. Phys. 242 277–329
2003
Cited alongside, same era.
Lyons, RussellR. (2003). Determinantal probability measures. Publ. Math. Inst. Hautes Études Sci. 98 167–212
2003
Cited alongside, same era.
Nagao, TaroT. (2003). Dynamical correlations for vicious random walk with a wall. Nuclear Phys. B 658 373–396
2003
Cited alongside, same era.
Nagao, TaroT., Katori, MakotoM. andTanemura, HidekiH. (2003). Dynamical correlations among vicious random walkers. Phys. Lett. A 307 29–35
2003
Cited alongside, same era.
Okounkov, AndreiA. andReshetikhin, NikolaiN. (2003). Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. J. Amer. Math. Soc. 16 581–603 (electronic)
2003
Cited alongside, same era.
Tracy, Craig A.C. A. andWidom, HaroldH. (2006). The Pearcey process. Comm. Math. Phys. 263 381–400
2006
Later among the works it cites.
Katori, MakotoM. andTanemura, HidekiH. (2007). Noncolliding Brownian motion and determinantal processes. J. Stat. Phys. 129 1233–1277
2007
Later among the works it cites.
Okounkov, AndreiA. andReshetikhin, NicolaiN. (2007). Random skew plane partitions and the Pearcey process. Comm. Math. Phys. 269 571–609
2007
Later among the works it cites.
Tracy, Craig A.C. A. andWidom, HaroldH. (2007). Nonintersecting Brownian excursions. Ann. Appl. Probab. 17 953–979
2007
Later among the works it cites.
Borodin, AlexeiA. andPéché, SandrineS. (2008). Airy kernel with two sets of parameters in directed percolation and random matrix theory. J. Stat. Phys. 132 275–290
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Ferrari, Patrik L.P. L. (2004). Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues. Comm. Math. Phys. 252 77–109
2004
Cited alongside, same era.
Imamura, T.T. andSasamoto, T.T. (2004). Fluctuations of the one-dimensional polynuclear growth model with external sources. Nuclear Phys. B 699 503–544
2004
Cited alongside, same era.
Katori, MakotoM. andTanemura, HidekiH. (2004). Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems. J. Math. Phys. 45 3058–3085
2004
Cited alongside, same era.
Sasamoto, T.T. andImamura, T.T. (2004). Fluctuations of the one-dimensional polynuclear growth model in half-space. J. Stat. Phys. 115 749–803
2004
Cited alongside, same era.
Baik, JinhoJ., Ben Arous, GérardG. andPéché, SandrineS. (2005). Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33 1643–1697
2005
Cited alongside, same era.
Borodin, AlexeiA. andRains, Eric M.E. M. (2005). Eynard–Mehta theorem, Schur process, and their Pfaffian analogs. J. Stat. Phys. 121 291–317
2005
Cited alongside, same era.
Johansson, KurtK. (2005). Non-intersecting, simple, symmetric random walks and the extended Hahn kernel. Ann. Inst. Fourier (Grenoble) 55 2129–2145
2005
Cited alongside, same era.
Adler, MarkM., Delépine, JonathanJ. andvan Moerbeke, PierreP. (2009). Dyson’s nonintersecting Brownian motions with a few outliers. Comm. Pure Appl. Math. 62 334–395
2009
Later among the works it cites.
Delvaux, StevenS. andKuijlaars, Arno B. J.A. B. J. (2009). A phase transition for nonintersecting Brownian motions, and the Painlevé II equation. Int. Math. Res. Not. IMRN 19 3639–3725
2009
Later among the works it cites.
Adler, MarkM., Ferrari, Patrik L.P. L. andvan Moerbeke, PierreP. (2010). Airy processes with wanderers and new universality classes. Ann. Probab. 38 714–769
2010
Closest in time.
Adler, MarkM., Orantin, NicolasN. andvan Moerbeke, PierreP. (2010). Universality for the Pearcey process. Phys. D 239 924–941
2010
Closest in time.
Borodin, AlexeiA. andKuan, JeffreyJ. (2010). Random surface growth with a wall and Plancherel measures for O ( ∞ ) \mathrm{O}(\infty) . Comm. Pure Appl. Math. 63 831–894
2010
Closest in time.
Adler, M.M., Cafasso, M.M. andvan Moerbeke, P.P. (2011). From the Pearcey to the Airy process. Electron. J. Probab. 16 1048–1064
2011
Closest in time.
Borodin, AlexeiA. andDuits, MauriceM. (2011). Limits of determinantal processes near a tacnode. Ann. Inst. Henri Poincaré Probab. Stat. 47 243–258
2011
Closest in time.
Delvaux, StevenS., Kuijlaars, Arno B. J.A. B. J. andZhang, LunL. (2011). Critical behavior of nonintersecting Brownian motions at a tacnode. Comm. Pure Appl. Math. 64 1305–1383
2011
Closest in time.
Johansson, K.K. (2011). Non-colliding Brownian motions and the extended tacnode process. Available at arXiv: \arxivurl
2011
Closest in time.
van Moerbeke, PierreP. (2011). Random and integrable models in mathematics and physics. In Random Matrices, Random Processes and Integrable Systems. CRM Series in Mathematics and Physics (J. Harnad, ed.) 3–130. Springer, New York
2011
Closest in time.
Adler, M.M., Johansson, K.K. andvan Moerbeke, P.P. (2012). Double Aztec diamonds and the tacnode process. Available at arXiv: \arxivurl
2012
Closest in time.
Ferrari, Patrik L.P. L. andVető, BálintB. (2012). Non-colliding Brownian bridges and the asymmetric tacnode process. Available at arXiv: \arxivurl
2012
Closest in time.