Research Articles (Mathematical Sciences)
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A simple ecological model captures the transmission pattern of COVID19 outbreak in China
(BioMed Central, 2020)Background The rapid spread of the 2019 novel coronavirus disease (COVID19), initially reported in the city of Wuhan in China, and quickly transmitted to the entire nation and beyond, has become an international ... 
Why does not the leaf weightarea allometry of bamboos follow the 3/2power law?
(Frontiers Media, 2018)The principle of similarity (Thompson, 1917) states that the weight of an organism follows the 3/2power law of its surface area and is proportional to its volume on the condition that the density is constant. However, the ... 
Spatial segregation facilitates the coexistence of tree species in temperate forests
(MDPI, 2018)Competition between plants has an important role during the natural succession of forest communities. Niche separation between plants can reduce such interspecific competition and enable multispecies plant to achieve ... 
Influence of rotation on transversely isotropic piezoelectric rod coated with a thin film
(Polish Academy of Sciences, 2018)In this paper, the influence of rotation on axisymmetric waves of a piezoelectric rod coated with a thin film is studied using constitutive form linear theory elasticity and piezoelectric equations. Potential functions ... 
On the distribution of subtree orders of a tree
(University of Primorska, 2018)We investigate the distribution of the number of vertices of a randomly chosen subtree of a tree. Specifically, it is proven that this distribution is close to a Gaussian distribution in an explicitly quantifiable way if ... 
Upscaling biodiversity : estimating the species–area relationship from small samples
(Ecological Society of America, 2018)The challenge of biodiversity upscaling, estimating the species richness of a large area from scattered local surveys within it, has attracted increasing interest in recent years, producing a wide range of competing ... 
Drivers of species turnover vary with species commonness for native and alien plants with different residence times
(Ecological Society of America, 2018)Communities comprising alien species with different residence times are natural experiments allowing the assessment of drivers of community assembly over time. Stochastic processes (such as dispersal and fluctuating ... 
Weighing evidence
(Author retain copyright, 201912)Often different pieces of evidence of different degrees of credibility are submitted in legal proceedings. Then a court “weighs” the evidence and arrives at a conclusion. But how should evidence be weighed? The use of ... 
On spanning sets and generators of nearvector spaces
(Scientific and Technological Research Council of Turkey, 2018)In this paper we study the quasikernel of certain constructions of nearvector spaces and the span of a vector. We characterize those vectors whose span is onedimensional and those that generate the whole space. 
Dynamical phase transition in drifted Brownian motion
(American Physical Society, 2018)We study the occupation fluctuations of drifted Brownian motion in a closed interval and show that they undergo a dynamical phase transition in the longtime limit without an additional lownoise limit. This phase transition ... 
The definable (Q, Q)theorem for distal theories
(Association for Symbolic Logic, 2018)Answering a special case of a question of Chernikov and Simon, we show that any nondividing formula over a model M in a distal NIP theory is a member of a consistent definable family, definable over M. 
Hofstadter point spectrum trace and the almost Mathieu operator
(AIP, 2018)We consider point spectrum traces in the Hofstadter model. We show how to recover the full quantum Hofstadter trace by integrating these point spectrum traces with the appropriate free density of states on the lattice. ... 
Parabolic curve fitting study subject to Joule heating in MHD thermally stratified mixed convection stagnation point flow of EyringPowell fluid induced by an inclined cylindrical surface
(Elsevier, 2018)The current analysis is carried out to envision the properties of magnetohydrodynamic boundary layer stagnation point flow of EyringPowell (nonNewtonian) fluid induced by an inclined stretching cylindrical surface in ... 
Quantifying multiplesite compositional turnover in an Afrotemperate forest, using zeta diversity
(SpringerOpen, 2018)Background: Species turnover is typically measured by partitioning diversity components into alpha and pairwise beta diversity. However, alpha and beta components cannot express the full spectrum of multiplesite ... 
Growing and destroying Catalan–Stanley trees
(Discrete Mathematics and Theoretical Computer Science, 2018)Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers. By the standard bijection in this context, these special Dyck paths ... 
Modeling topdown and bottomup drivers of a regime shift in invasive aquatic plant stable states
(Frontiers Media, 2019)The evidence for alternate stable states characterized by dominance of either floating or submerged plant dominance is well established. Inspired by an existing model and controlled experiments, we conceptually describe a ... 
Visibility problems related to skip lists
(Combinatorial Mathematics Society of Australasia, 2018)For sequences (words) of geometric random variables, visibility problems related to a sun positioned in the northwest are considered. This leads to a skew version of such words. Various parameters are analyzed, such as ... 
Evolutionary fields can explain patterns of highdimensional complexity in ecology
(American Physical Society, 2017)One of the properties that make ecological systems so unique is the range of complex behavioral patterns that can be exhibited by even the simplest communities with only a few species. Much of this complexity is commonly ... 
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
(De Gruyter, 2017)A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers. 
Hopf and Lie algebras in semiadditive varieties
(Logical Methods in Computer Science, 2017)We study Hopf monoids in entropic semiadditive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investigations are based on the concept of the ...