Results 21 to 30 of about 9,065 (122)
Inverted state sums, inverted Habiro series, and indefinite theta functions
S. Gukov and C. Manolescu conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series $F_K(x,q)$, which is the knot complement version of the 3-manifold invariant $\hat{Z}$ whose existence was predicted earlier by S. Gukov, P. Putrov and C. Vafa.
openaire +2 more sources
On a relation between certain $q$-hypergeometric series and Maass waveforms
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of $q$-series related to the $q$-hypergeometric series $\sigma$ from Ramanajun's lost notebook.
Krauel, Matthew +2 more
core +1 more source
MusicSwarm: Biologically Inspired Intelligence for Music Composition
Biologically inspired swarms of frozen foundation models self‐organize to compose complex music without fine‐tuning. By coordinating through stigmergic signals, decentralized agents dynamically evolve specialized roles and adapt to solve complex tasks.
Markus J. Buehler
wiley +1 more source
Orientation reversal and the Chern-Simons natural boundary
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general problem in theoretical and mathematical physics.
Griffen Adams +4 more
doaj +1 more source
A Framework for Modular Properties of False Theta Functions
False theta functions closely resemble ordinary theta functions, however they do not have the modular transformation properties that theta functions have.
Bringmann, Kathrin, Nazaroglu, Caner
core +1 more source
Thermofield-Bosonization on Compact Space [PDF]
We develop the construction of fermionic fields in terms of bosonic ones to describe free and interaction models in the circle, using thermofielddynamics. The description in the case of finite temperature is developed for both normal modes and zero modes.
Amaral, R. L. P. G., Belvedere, L. V.
core +1 more source
Alternative Price Dynamics and Valuation of Flexible Strategies
ABSTRACT In this article, we study the optimal operational strategy of production projects. We investigate different underlying price models and determine the optimal barriers of transition to suspension, recovery, or irreversible abandonment of productive activity.
Cristina Bertolosi +2 more
wiley +1 more source
Black hole quantum mechanics and generalized error functions
In Type II Calabi-Yau string compactifications, S-duality predicts that suitable generating series of BPS indices counting microstates of D4-D2-D0 black holes are in general mock modular forms of higher depth.
Boris Pioline, Rishi Raj
doaj +1 more source
On a completed generating function of locally harmonic Maass forms
While investigating the Doi-Naganuma lift, Zagier defined integral weight cusp forms $f_D$ which are naturally defined in terms of binary quadratic forms of discriminant $D$.
Ben Kane +8 more
core +1 more source
ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao +3 more
wiley +1 more source

