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Phylogenetic and ion-response analyses reveal a relationship between gene expansion and functional divergence in the Ca2+/cation antiporter family in Angiosperms
Ca2+/cation antiporters superfamily (CaCAs) Phylogenetic analyses Selective expansion Expression divergence Ion-response pattern Functional divergence
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2023/12/18
Plants and animals face different environmental stresses but share conserved Ca2+ signaling pathways, such as Ca2+/Cation transport. The Ca2+/cation antiporters superfamily (CaCAs) is an ancient and w...
Functional divergence of Populus MYB158 and MYB189 gene pair created by whole genome duplication
duplicate gene functional divergence MYB transcription factor regulatory networks secondary cell wall biosynthesis whole genome duplication
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2023/11/28
Whole genome duplication (WGD) provides new genetic material for genome evolution. After a WGD event, some duplicates are lost, while other duplicates still persist and evolve diverse functions. A par...
Conversion between duplicated genes generated by polyploidization contributes to the divergence of poplar and willow
Poplar Willow Polyploidization Duplicated genes Gene conversion
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2023/11/28
Gene conversion has an important effect on duplicate genes produced by polyploidization. Poplar (Populus trichocarpa) and willow (Salix brachista) are leading models and excellent green plants in the ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Error Exponents and Rényi Information Divergence in Quantum Information
量子信息 误差指数 仁义信息发散
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2023/4/28
In quantum information theory, the error exponents characterize the best rate of exponential convergence of the error towards 0 or 1, as the number of copies of the underlying resources increases. In ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pointwise interior Schauder estimates for Stokes systems in divergence form
发散形式 斯托克斯系统 逐点内部 肖德估计
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2023/4/23
In this talk, we will first go over the history of Schauder estimates, where the developing of proofs will be emphasized. Second, we will establish pointwise interior Schauder estimates for Stokes sys...
Evolution and Functional Divergence of SUN Genes in Plants
棉花 SUN家族蛋白 GbSUN5敲除
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2024/4/16
系统鉴定和分析了棉花SUN家族蛋白，通过病毒诱导的敲除和CRISPR/cas9介导的GbSUN5敲除，发现尽管花粉活力仍然正常，但是其败育率较高。本研究结果表明：SUN3和SUN5在生物学功能上存在差异，在生殖发育中发挥重要作用。
Functional divergence of two duplicated Fertilization Independent Endosperm genes in rice with respect to seed development
Fertilization Endosperm genes rice
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2023/8/9
Fertilization Independent Endosperm(FIE) is an essential member of Polycomb Repressive Complex 2(PRC2) that plays important roles in the developmental regulation of plants. OsFIE1 and OsFIE2 are two F...
Unifying computational entropies via Kullback-Leibler divergence
one-way functions pseudo-randomness bit commitment
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2019/3/6
We introduce KL-hardness, a new notion of hardness for search problems which on the one hand is satisfied by all one-way functions and on the other hand implies both next-block pseudoentropy and inacc...
Sharper Bounds in Lattice-Based Cryptography using the Rényi Divergence
Security Proofs Lattice-Based Cryptography Gaussian Sampling
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2017/5/31
First, we give theoretic results which renders it more efficient and easier to use. This is done by providing two lemmas, which give tight bounds in very common situations { for distributions that are...
Tight Parallel Repetition Theorems for Public-Coin Arguments using KL-divergence
parallel repetition public coin interactive arguments
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2016/1/5
We present a new and conceptually simpler proof of a tight
parallel-repetition theorem for public-coin arguments [Pass-Venkitasubramaniam,
STOC’07], [H˚astad et al, TCC’10], [Chung-Liu, TCC’10]...
Improved security proofs in lattice-based cryptography: using the Rényi divergence rather than the statistical distance
public-key cryptography probability distributions
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2015/12/30
The Rényi divergence is a measure of closeness of two probability
distributions. We show that it can often be used as an alternative
to the statistical distance in security proofs for lattice-based ...
Tighter Security for Efficient Lattice Cryptography via the R閚yi Divergence of Optimized Orders
lattice based cryptography tight reduction R磂nyi divergence
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2015/12/21
In security proofs of lattice based cryptography, bounding the closeness of two probability
distributions is an important procedure. To measure the closeness, the R磂nyi divergence has been used
inst...
GENETIC DIVERGENCE, REPRODUCTIVE ISOLATION, AND MARINE SPECIATION
allopatric speciation dispersal molecular evolutio
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2015/12/17
In marine species, high dispersal is often associated with only mild genetic
differentiation over large spatial scales. Despite this generalization, there are
numerous reasons for the accumulation o...
The Harnack inequality for second-order elliptic equations with divergence-free drifts
Harnack inequality second-order elliptic equations divergence-free drifts
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2015/7/14
We consider an elliptic equation with a divergence-free drift b. We prove that an inequality of Harnack type holds under the assumption b ∈ Ln/2+δ ∩ L2 where δ > 0. As an application we provide a one ...
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
Harnack inequality second-order parabolic equations divergence-free drifts low regularity
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2015/7/14
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...