Concept

Khinchin's constant

Related publications (11)

A dependence of the cost of fast controls for the heat equation on the support of initial datum

The controllability cost for the heat equation as the control time

T

goes to 0 is well-known of the order

e^{C/T}

for some positive constant

C

, depending on the controlled domain and for all initial datum. In this paper, we prove that the constant $C ...

2021

Electrochemical assessment of water|ionic liquid biphasic systems towards cesium extraction from nuclear waste

Thomas James Stockmann, Zhifeng Ding

A room temperature ionic liquid (IL) composed of a quaternary alkylphosphonium (trihexyltetradecylphosphonium, P66614(+)) and tetrakis(pentafluorophenyl) borate anion (TB) was employed within a water| P66614TB (w|P66614TB or w|IL) biphasic system to evalua ...

Elsevier2014

Finite-Length Scaling for Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani

Consider a binary-input memoryless output-symmetric channel W. Such a channel has a capacity, call it I (W), and for any R < I (W) and strictly positive constant P-e we know that we can construct a coding scheme that allows transmission at rate R with an e ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Approximate Sparsity Pattern Recovery: Information-Theoretic Lower Bounds

Michael Christoph Gastpar

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a small number of noisy linear mea- surements is an important problem in compressed sensing. In this paper, the high-dimensional setting is considered. It is shown that if the m ...

Institute of Electrical and Electronics Engineers2013

The Sampling Rate-Distortion Tradeoff for Sparsity Pattern Recovery in Compressed Sensing

Michael Christoph Gastpar

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a limited number of noisy linear measurements is an important problem in compressed sensing. In the high-dimensional setting, it is known that recovery with a vanishing fraction ...

Institute of Electrical and Electronics Engineers2012

Universal bounds on the scaling behavior of polar codes

Rüdiger Urbanke, Seyed Hamed Hassani, Ali Goli

We consider the problem of determining the tradeoff between the rate and the block-length of polar codes for a given block error probability when we use the successive cancellation decoder. We take the sum of the Bhattacharyya parameters as a proxy for the ...

2012

Interfacial Complexation Reactions of Sr2+ with Octyl(phenyl)-N,N-diisobutylcarbamoylmethylphosphine Oxide for Understanding Its Extraction in Reprocessing Spent Nuclear Fuels

Hubert Girault, Yu Lu, Thomas James Stockmann, Zhifeng Ding

The complexation reactions between strontium (Sr2+) and octyl(phenyl)-N,N-diisobutylcarbamoylmethylphosphine oxide (CMPO) were studied at the aqueous vertical bar 1,2-dichloroethane (w vertical bar DCE) and aqueous vertical bar room-temperature ionic liqui ...

2011

Overlap properties of geometric expanders

The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) is an element of (0, 1] such that no matter how we map the vertices of H into R-d, there is a point covered by at least a c(H)-fraction of the simplices induced by the ...

De Gruyter2011

Investigating Reliability on Fuel Cell Model Identification. Part I: A Design of Experiments Approach

Daniel Favrat, Jan Van Herle, Leonidas Tsikonis

A model-based Design of Experiments method was employed for the optimisation of measurements on a Solid Oxide Fuel Cell (SOFC). Based on a simplified SOFC model, a variation of the D-optimality was used as optimisation criterion for the calculation of opti ...

2011

Peptide-Phospholipid Complex Formation at Liquid-Liquid Interfaces

Hubert Girault, Manuel Alejandro Méndez Agudelo, Michel Prudent, Bin Su

Two peptides known to interact with receptors embedded in cell membranes, angiotensin III (AngIII) and Leuenkephalin(LeuEnk), were studied electrochemically at the interface formed between two immiscible electrolyte solutions modified by an adsorbed monola ...

2008

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