Analysis of human DNA through power-law statistics

κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass

“…scitation.org/journal/jmp paramagnetic systems, 77 nonlinear diffusion, 78 social systems, 79 complex networks, 80 analysis of human DNA, 81 blackbody radiation, 82 quantum entanglement, 83 etc. In this work, we employ the κ-algebra for generalizing classical and quantum mechanics with the aim of studying the properties of the resulting noncommuting space originated by the deformation.…”

New power-law tailed distributions emerging in $κ$-statistics

“…Over the last two decades, the κ-statistical theory has attracted the interest of many researchers, who have studied its foundations [5][6][7][8][9][10], and the underlying thermodynamics [11][12][13][14][15], and at the same time, have considered specific applications of the theory to various fields of science. A nonexhaustive list of applications includes, among others, those in quantum statistics [16][17][18], in quantum theory [19][20][21], in plasma physics [22][23][24][25][26][27][28], in nuclear fission [29,30], in particle physics [31], in astrophysics [32][33][34][35][36], in cosmology [37][38][39][40][41][42][43], in geomechanics [44,45], in genomics [46,47], in complex networks [48,49], in waveform inversion algorithms [50], in image processing…”

$κ$-Deformed quantum and classical mechanics for a system with position-dependent effective mass

“…58 Concerning these formal structures, the κ-deformed statistics, originated from the κ-exponential and κ-logarithm functions, allows to develop an algebraic structure, called κ-algebra, [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74] with similar properties to the those of the q-algebra. In particular, the κ-statistics has been employed in plasma physics, 75 astrophysics, 76 paramagnetic systems, 77 nonlinear diffusion, 78 social systems, 79 complex networks, 80 analysis of human DNA, 81 blackbody radiation, 82 quantum entanglement, 83 etc.…”