scholarly journals Double exponential approximation and inverse double exponential fit for Bell Labs and International-Military Standard EMP waveforms.

2020 ◽  
Author(s):  
Salvatore Campione ◽  
Larry K. Warne
Keyword(s):  
Exponential Approximation ◽  
Double Exponential ◽  
Exponential Fit

Temperature Dependence of Electric Conductivities in Femtosecond Laser Modified Areas in Silicon Carbide

2014 ◽  
Vol 778-780 ◽  
pp. 661-664 ◽  
Author(s):  
Manato Deki ◽  
Tomoki Oka ◽  
Shodai Takayoshi ◽  
Yoshiki Naoi ◽  
Takahiro Makino ◽  
...  
Keyword(s):  
Silicon Carbide ◽  
Femtosecond Laser ◽  
Temperature Dependence ◽  
Specific Resistance ◽  
Laser Modification ◽  
Current Voltage ◽  
Double Exponential ◽  
Current Voltage Characteristics ◽  
Exponential Fit

Temperature dependence of the femtosecond laser modified region on silicon carbide was measured. The current-voltage characteristics showed the ohmic properties and thus we could evaluate the specific resistance for each irradiation conditions and the measured temperatures. The specific resistance was increased with decreasing temperature. From the double exponential fit to the temperature dependence of the specific resistance, the trapping energy of the impurity levels formed by the femtosecond laser modification was found to be 4.5 meV and 51.4 meV.

scholarly journals Potential Well in Poincaré Recurrence

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 379
Author(s):  
Miguel Abadi ◽  
Vitor Amorim ◽  
Sandro Gallo
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Stochastic Processes ◽  
Recurrence Time ◽  
Potential Well ◽  
Exponential Approximation ◽  
Mixing Processes ◽  
System Perspective ◽  
Return Times ◽  
Error Terms

From a physical/dynamical system perspective, the potential well represents the proportional mass of points that escape the neighbourhood of a given point. In the last 20 years, several works have shown the importance of this quantity to obtain precise approximations for several recurrence time distributions in mixing stochastic processes and dynamical systems. Besides providing a review of the different scaling factors used in the literature in recurrence times, the present work contributes two new results: (1) For ϕ-mixing and ψ-mixing processes, we give a new exponential approximation for hitting and return times using the potential well as the scaling parameter. The error terms are explicit and sharp. (2) We analyse the uniform positivity of the potential well. Our results apply to processes on countable alphabets and do not assume a complete grammar.

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