45 Collision of orbits under the action of a Drinfeld module 1:12:27 Moments of higher derivatives related to Dirichlet L-functions 37:13 mp4 56:13 Consecutive sums of two squares in arithmetic progressions 56:13 DORIAN GOLDFELD_ ORTHOGONALITY RELATIONS FOR COEFFICIENTS OF AUTOMORPHIC $L$-FUN 1...
S. Kohl, Classifying finite simple groups with respect to the number of orbits under the action of the automorphism group, Comm. Algebra, 32 (2004) pp. 4785-4794.Kohl, S.: Classifying finite simple group with respect to the number of orbits under the action of the automorphism group (...
We obtain an effective criterion for the finiteness of the number of orbits contained in the closure of a given G-orbit for the case of a rational linear action of the group G: = (*)k × SL 2() on a finite-dimensional linear space as well as on the proje...
Letdenote the subgroup of the symmetric groupgenerated by the permuations. It has an obvious permutation action on the finite set, with a number of orbits which we will denote by. In this article, we will study the numbersA(p,n,k) that count orderedp-tuples of permutationsof [n], wh...
How do the quantization rules apply to the arrangements of the numerous electrons in the orbits of more massive atoms? If every electron in an arbitrary atom were in the lowest possible Bohr energy state (n = 1), we would expect to observe only gradual changes in the chemical properties of...
The dynamics of the elliptic Hill problem : Periodic orbits and stability regions The motion of a satellite around a planet can be studied by the Hill model, which is a modification of the restricted three body problem pertaining to moti... G Voyatzis,I Gkolias,H Varvoglis - 《Celestial...
Closed orbits of semisimple group actions and the real Hilbert-Mumford function The action of a noncompact semisimple Lie group G on a finite dimensional real vector space V is said to be stable if there exists a nonempty Zariski open subset O of V such that the orbit G(v) is closed in...
Each pair of indexes, laid side-by-side, provides a permutation of the points: a box action. Note that a pair of identical indexes will implement the identity permutation. A box has n!n(n-1) actions (excluding identical pairs) and they form a group with a structure entirely defined by...
ccchtaletomcoiitucspaelllicenocgturdpiecligcnrogeuedpKelgiin.r(geced)KeTgjh =ree e2C2kA.i.S(bp)atEtexrpnecfoterdnveaulruoenosfi the local mean field of node i with respect and j, both with electrical coupling degree Figure 6. The maximal values of the periodic orbits of ...
Recently, much attention has been paid to interpreting the mechanisms for memory formation in terms of brain connectivity and dynamics. Within the plethora of collective states a complex network can exhibit, we show that the phenomenon of Collective Almo