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UID:0-1041@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20251015T100000
DTEND;TZID=Europe/Paris:20251015T140000
DTSTAMP:20250909T145248Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
 se-alessandro-pacco/
SUMMARY:Soutenance de thèse : Alessandro Pacco - Grand amphi\, bâtiment P
 ascal n° 530 - 15 Oct 25 10:00
DESCRIPTION:Exploring high-dimensional random landscapes: from spin glasses
  to random matrices\, passing through simple chaotic systems\n&nbsp\;\nAle
 ssandro Pacco\n\nHigh-dimensional random landscapes underlie phenomena as 
 diverse as glassy physics and machine learning\, yet even their simplest t
 oy models already display extraordinarily rich behavior. This thesis aims 
 to deepen our understanding of that behavior\, by combining landscape base
 d approaches\, via the Kac–Rice formalism\, with dynamical approaches\, 
 paying special attention to both systems with reciprocal and with non-reci
 procal interactions. After surveying core techniques and results through t
 he pure spherical p-spin model\, this thesis delivers three main advances:
  (i) exact dynamic–static comparison in a class of solvable non-reciproc
 al models\, pinpointing differences and similarities of the two approaches
 \; (ii) a stability-based calculations of the mean number of fixed points 
 in the Sompolinsky–Crisanti–Sommers random neural network\, for any le
 vel of non-reciprocity of the interactions\; (iii) two approaches to probe
  the barriers and the distribution of deep local minima in the landscape o
 f the p-spin model\; (iv) some results on overlaps among eigenvectors of s
 piked\, correlated random matrices\, which are useful when exploring the g
 eometry of energy landscapes. Together\, these results sharpen our underst
 anding of such systems\, while opening new doors for future research direc
 tions.\n&nbsp\;\n\nJury : E. Bertin\, Y. Fyodorov\, C. Monthus\, F. Ricci-
 Tersenghi\, V. Ros (directrice de thèse)\, A. Rosso (co-directeur de thè
 se)
CATEGORIES:seminars
LOCATION:Grand amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Grand amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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DTSTART:20250330T030000
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