Results 51 to 60 of about 592,821 (170)

On three theorems of Folsom, Ono and Rhoades

open access: yes, 2013
In his deathbed letter to Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom,
Zudilin, Wadim
core   +1 more source

Brain modularity controls the critical behavior of spontaneous activity

open access: yes, 2014
The human brain exhibits a complex structure made of scale-free highly connected modules loosely interconnected by weaker links to form a small-world network.
de Arcangelis, Lucilla   +2 more
core   +1 more source

Virasoro entanglement Berry phases

open access: yesJournal of High Energy Physics, 2022
We study the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In the case of 2d CFT, we consider a change of state through action with a suitable diffeomorphism on the circle: one that diagonalizes the adjoint ...
Jan de Boer   +5 more
doaj   +1 more source

Properties of modular Hamiltonians on entanglement plateaux

open access: yesJournal of High Energy Physics, 2018
The modular Hamiltonian of reduced states, given essentially by the logarithm of the reduced density matrix, plays an important role within the AdS/CFT correspondence in view of its relation to quantum information.
Raimond Abt, Johanna Erdmenger
doaj   +1 more source

BKM Lie superalgebra for the Z_5 orbifolded CHL string

open access: yes, 2010
We study the Z_5-orbifolding of the CHL string theory by explicitly constructing the modular form tilde{Phi}_2 generating the degeneracies of the 1/4-BPS states in the theory. Since the additive seed for the sum form is a weak Jacobi form in this case, a
A Dabholkar   +33 more
core   +1 more source

A canonical approach to S-duality in Abelian gauge theory [PDF]

open access: yes, 1995
We examine the electric-magnetic duality for a U(1) gauge theory on a general 4-manifold. The partition function for such a theory transforms as a modular form of specific weight. However, in the canonical approach, we show that S-duality, like T-duality,
Kehagias, A. A.
core   +2 more sources

Design of Modular FMCW Radar and Quantization of Its Range Error

open access: yesSakarya University Journal of Computer and Information Sciences, 2018
This study presents experimental analysis of range error of modular FMCW (frequency modulated continuous wave) radar operating at C-band. As FMCW utilizes frequency modulation, it can measure both range and speed of targets.
Emre Uzundurukan   +2 more
doaj   +1 more source

Hyperelliptic Schottky Problem and Stable Modular Forms

open access: yes, 2016
It is well known that, fixed an even, unimodular, positive definite quadratic form, one can construct a modular form in each genus; this form is called the theta series associated to the quadratic form. Varying the quadratic form, one obtains the ring of
Codogni, Giulio
core  

MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS

open access: yesForum of Mathematics, Pi, 2013
Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM   +2 more
doaj   +1 more source

Pressurized bellows flat contact heat exchanger interface [PDF]

open access: yes, 1990
Disclosed is an interdigitated plate-type heat exchanger interface. The interface includes a modular interconnect to thermally connect a pair or pairs of plate-type heat exchangers to a second single or multiple plate-type heat exchanger.
Howell, Harold R.   +2 more
core   +1 more source

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