Fwd: Reminder Integrable Systems Seminar

[ICTP Math Section]

-------- Forwarded Message --------
Subject: 	Reminder Integrable Systems Seminar
Date: 	Mon, 17 Apr 2023 09:56:41 +0000
From: 	Giuseppe Orsatti <gorsatti at sissa.it>
To: 	Math Users <math-users at lists.sissa.it>, ICTP Math Section 
<math at ictp.it>



Dear All,

This is a reminder thatthe next Integrable Systems Seminar will 
be*Tomorrow***at*2** pm*in*Room 136*.

*Speaker:*Alexander Krajenbrink (Cambridge Quantum Computing & Quantinuum)

*Title: /A journey from classical integrability to the large deviations 
of the Kardar-Parisi-Zhang equation/*
*/
/*
*Abstract:/In this talk, I will revisit the problem of the large 
deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension at 
short time by introducing a novel approach which combines field 
theoretical, probabilistic and integrable techniques. /*
*/
My goal will be to expand the program of the weak noise theory, which 
maps the large deviations onto a non-linear hydrodynamic problem, and to 
unveil its complete solvability through a connection to the 
integrability of the Zakharov-Shabat system.
I will show that this approach paves the path to understand the large 
deviations for general initial geometry.

/*
*/This is based on the work arXiv:2103.17215 
(https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.064101 
<https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.064101>*/) 
with P. Le Doussal./*/*
*/
Inverse Scattering of the Zakharov-Shabat System Solves the Weak Noise 
Theory of the Kardar-Parisi-Zhang Equation 
<https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.064101>
We solve the large deviations of the Kardar-Parisi-Zhang (KPZ) equation 
in one dimension at short time by introducing an approach which combines 
field theoretical, probabilistic, and integrable techniques. We expand 
the program of the weak noise theory, which maps the large deviations 
onto a nonlinear hydrodynamic problem, and unveil its complete 
solvability through a connection to the integrability of the 
Zakharov-Shabat system. Exact solutions, depending on the initial 
condition of the KPZ equation, are obtained using the inverse scattering 
method and a Fredholm determinant framework recently developed. These 
results, explicit in the case of the droplet geometry, open the path to 
obtain the complete large deviations for general initial conditions.
journals.aps.org

/*

*/Zoom 
Link:https://sissa-it.zoom.us/j/85632170233?pwd=dDFaT1Y3RnFOL05IUzVDeE44RnRwUT09 



Meeting ID: 856 3217 0233

Passcode: 839532


Best regards,


Giuseppe Orsatti

/*

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