• Publications
  • Influence
Quantizing with a Higher Time Derivative
We review the classical and quantum theory of the Pais-Uhlenbeck oscillator as the toy-model for quantizing f(R) gravity theories.
Degeneration of the Julia set to singular loci of algebraic curves
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraicExpand
On Incompleteness of Some Integrable Rational Maps
An argument is given to associate integrable nonintegrable transition of discrete maps with the transition of Lawvere's fixed point theorem to its own contrapositive. We show that the classicalExpand
Gravity analog model of non-equilibrium thermodynamics
Non-equilibrium thermodynamics of Onsager and Machlup and of Hashitsume is reformulated as a gravity analog model, in which thermodynamic variables, kinetic coefficients and generalized forces form,Expand
Quantum-classical correspondence via coherent state in integrable field theory
We consider the problem of quantum-classical correspondence in integrable field theories. We propose a method to construct a field theoretical coherent state, in which the expectation value of theExpand
Time dependent Pais-Uhlenbeck oscillator and its decomposition
The Pais-Uhlenbeck(PU) oscillator is the simplest model with higher time derivatives. Its properties were studied for a long time. In this paper, we extend the 4th order free PU oscillator to a moreExpand
N C ] 2 5 A ug 2 01 9 OUJ-FTC-3 OCHA-PP-356 Surround Inhibition Mechanism by Deep Learning ∗
In the sensation of tones, visions and other stimuli, the “surround inhibition mechanism” (or “lateral inhibition mechanism”) is crucial. The mechanism enhances the signals of the strongest tone,Expand
Surround Inhibition Mechanism by Deep Learning
TLDR
The implication obtained by the deep learning of this neural network is compared with the standard physiological understanding of the surround inhibition mechanism. Expand
Fe b 20 16 On Incompleteness of Some Integrable Rational Maps by
An argument is given to associate integrable nonintegrable transition of discrete maps with the transition of Lawvere’s fixed point theorem to its own contrapositive. We show that the classicalExpand
A Formalism Useful to Study Beyond Squeezing in Non-linear Quantum Optics
A general formalism is given in quantum optics within a ring cavity, in which a non-linear material is stored. The method is Feynman graphical one, expressing the transition amplitude or S-matrix inExpand
...
1
2
...