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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Proofs of two or infinity conjectures for Reeb orbits and closed geodesics
Reeb轨道 闭测地线 两个 无穷大猜想
2023/11/29
In this talk, we give a proof of the conjecture of Hofer-Wysocki-Zehnder published in 2003 asserting that a smooth and autonomous Hamiltonian flow on R4 has either two or infinitely many simple period...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Characterizations of Separably Differentially Closed Fields
可分 微分闭域 微分场
2023/11/7
In this talk, we define a new class of differential fields called separably differentially closed fields and show their several characterizations by comparing them with differentially closed fields of...
Closed-form expansion, conditional expectation, and option valuation
asymptotic expansion diffusion option pricing conditional expectation iterated stochastic integral
2016/1/25
Enlightened by the theory of Watanabe [Watanabe S (1987) Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels. Ann. Probab. 15:1–39] for analyzing generalized rando...
Closed-form expansions of discretely monitored asian options in diffusion models
discretely monitored Asian options the CEV model the CIR process the Black-Scholes model the Brennan and Schwartz process small-time expansion
2016/1/20
In this paper we propose a closed-form asymptotic expansion approach to pricing discretely monitored Asian options in general one-dimensional diffusion models. Our expansion is a small-time expansion ...
Open and closed seascapes: Where does habitat patchiness create populations with high fractions of self-recruitment?
coral reef seascapes dispersal
2015/12/11
Which populations are replenished primarily by immigrants (open) and which
by local production (closed) remains an important question for management with implications
for response to exploitation, p...
Crystal structures of a group II chaperonin reveal the open and closed states associated with the protein folding cycle
Crystal structures group II chaperonin reveal closed states associated protein folding cycle
2015/12/11
Chaperonins are large protein complexes consisting of two stacked multisubunit rings, which open and close in an ATP-dependent manner to create a protected environment for protein folding. Here, we de...
CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
The use of non-invasive field techniques in the study of small topographically closed lakes: two case studies in Sicily (Italy)
Bathymetry Climatic changes Closed lake Hydrology Microbialites Morphology Pantelleria Sfondato lake Specchio di Venere lake
2015/8/18
Small endhoreic (topografically closed) lakes represent a little percentage of continental waters but, in arid or sub-arid regions, they develop special ecosystems potentially prone to ecological invo...
Hydrodynamics of topographically closed lakes in the Ethio-Kenyan Rift:The case of lakes Awassa and Naivasha
Awassa East African rift hydrology modeling Naivasha water balance
2015/8/13
The hydrodynamics and the long-term water balance of two topographically closed crater lakes is presented in a comparative manner using a spread-sheet hydrological model. The main objective of the wor...
Closed-loop convex analysis of performance limits for linear control systems
Linear control system computer aided control system and design a linear controller convex optimization digital signal processor
2015/8/12
In closed-loop convex analysis and design, the linear controller design problem is reformulated as a convex optimization problem, which may be more easily solved than the problems resulting from conve...
Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Closed Form Summation for Classical Distributions: Variations on Theme of De Moivre
Binomial distribution Stirling's formula his- tory of probability Pearson curves Stein's identity mean absolute deviation.
2015/7/14
De Moivre gave a simple closed form expression for the mean
absolute deviation of the binomial distribution. Later authors showed
that similar closed form expressions hold for many of the other cl...
CLOSED EXPRESSIONS FOR AVERAGES OF SET PARTITION STATISTICS
Points theory triangular matrix the mean linear transfer fluid
2015/7/7
In studying the enumerative theory of super characters of the group of upper triangular matrices over a finite field we found that the moments (mean, variance and
higher moments) of novel...
Closed characteristics on compact convex hypersurfaces in R8
Closed characteristics compact convex hypersurfaces R8
2015/3/18
Closed characteristics on compact convex hypersurfaces in R8.
Closed Geodesics and the Free Loop Space.