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Search Results: 1 - 10 of 20619 matches for " Kil Kim "
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Comparison of Brood Productions in the Cold-Treated Pairing vs. Not Cold-Treated Pairing in a Stenochronous Spider
Kil Won Kim
Journal of Ecology and Field Biology , 2009,
Abstract: To understand whether experience of cold season in reproductive behaviors in the adults ofAmaurobius ferox, the paired adults of a female and a male were exposed under ‘cold-treated environment’ and‘not cold-treated environment’, respectively. I investigated effects of the cold treatment on the brood productionof A. ferox. In not cold treatment in which male-female pairs were formed in October at a temperature of 20℃(± 2℃) and continuously kept under not cold-treated environment, only 3 of 50 pairs successfully reproduced(reproduction was defined as the emergence of spiderlings). In cold treatment where individuals were kept incold conditions for 3 months prior to pair formation, 57 out of 60 couples succeeded in reproducing. Femaleswhich did not experience the low temperature displayed strong aggressiveness toward males. This behavioralinhibition might the primary barrier to copulation of A. ferox that decrease following a period of low temperature.The reproductive inhibition might help the females to allocate the maximum amount of energy in a givenenvironment to reaching the adult stage and to delay reproduction in unfavorable wintering conditions.
Maternal Body-mass Transfer to Offspring in the Matriphagous Spider, Amaurobius ferox (Amaurobiidae)
Kil Won Kim
Journal of Ecology and Field Biology , 2009,
Abstract: The optimal strategy for semelparous females may involve adjustments in the relative investmentin two fitness components, the number of offspring and the post-hatching investment per capita. To determinethe pattern of maternal resource allocation to offspring in the matriphagous spider, Amaurobius ferox (Amaurobiidae),I investigated the relationship between maternal body-mass and the number of offspring, and quantifiedthe transfer of maternal body-mass to the offspring via different forms of maternal provisioning (trophic egg-layingand matriphagy). There was a positive relationship between female body-mass and the number of offspring.However, Amaurobius mothers did not produce more trophic eggs when they had larger broods. Rather, spiderlingsin larger A. ferox broods consumed larger quantities of maternal body-mass via matriphagy. Mothers transferred28.8 ± 6.5% of their body-mass to the spiderlings via trophic egg-laying, and an estimated 39.0 ± 12.5%of their body-mass was transferred to the spiderlings via matriphagy.
Maternal Influence on Spiderlings' Emergence from the Cocoon: Observations in a Subsocial Spider
Kim, Kil Won
Journal of Ecology and Field Biology , 2009,
Abstract: Brood caring behavior was observed in Amaurobius ferox (Araneae, Amaurobiidae), a semelparoussubsocial spider, from cocoon construction until the emergence of spiderlings from the cocoon. Unlike mostspiders, which emerge from cocoon by their own means, A. ferox mothers intervene in the process of theemergence of their young. I manipulated broods by removing the mother prior to emergence to determine theeffects of maternal behavior on the emergence of spiderlings. My results showed that maternal interventionmaking the cocoon expansion and its exit, is not absolutely necessary for the emergence of A. ferox spiderlingsfrom the cocoon. Nine clutches out of ten were able to get out of the cocoon by their own means without theirmother's help. There was no difference between control groups ('with mother') and experimental groups ('withoutmother') in the number of spiderlings that emerged (96.9 ± 25.3 vs. 90.4 ± 14.2, respectfully) and in the time fromthe beginning to the end of emergence (36 ± 12 vs. 41 ± 17 hours). Time from eclosion until the emergence ofthe first individual in a clutch, however, was greater in the mother-absent group (3.5 days) than in the controlgroup (2.0 days). The construction of the cocoon by the mother required always occurred in the same area withinthe retreat, and took approximately 6 hours, and the mother guarded the eggs during the incubation period. Theemergence of the spiderlings followed a sigmoidal pattern. After emergence, the spiderlings formed a verycompact group on the cocoon, which may be important in securing maternal care. The absence of cribellum andcalamistrum, structures likely involved in their survival, observed in individuals of the first instar suggests thatin the first stage of life, the spiderlings are dependent on their mother.
Moreau-Yosida approximation and convergence of Hamiltonian systems on Wasserstein space
Hwa Kil Kim
Mathematics , 2012,
Abstract: In this paper, we study the stability property of Hamiltonian systems on the Wasserstein space. Let $H$ be a given Hamiltonian satisfying certain properties. We regularize $H$ using the Moreau-Yosida approximation and denote it by $H_\tau.$ We show that solutions of the Hamiltonian system for $H_\tau$ converge to a solution of the Hamiltonian system for $H$ as $\tau$ converges to zero. We provide sufficient conditions on $H$ to carry out this process.
Value functions in the Wasserstein spaces: finite time horizons
Ryan Hynd,Hwa Kil Kim
Mathematics , 2013,
Abstract: We study analogs of value functions arising in classical mechanics in the space of probability measures endowed with the Wasserstein metric $W_p$, for $1
Infinite horizon value functions in the Wasserstein spaces
Ryan Hynd,Hwa Kil Kim
Mathematics , 2013,
Abstract: We perform a systematic study of optimization problems in the Wasserstein spaces that are analogs of infinite horizon, deterministic control problems. We derive necessary conditions on action minimizing paths and present a sufficient condition for their existence. We also verify that the corresponding generalized value functions are a type of viscosity solution of a time independent, Hamilton-Jacobi equation in the space of probability measures. Finally, we prove a special case of a conjecture involving the subdifferential of generalized value functions and their relation to action minimizing paths.
Generating and Adding Flows on Locally Complete Metric Spaces
Hwa Kil Kim,Nader Masmoudi
Mathematics , 2012, DOI: 10.1007/s10884-012-9280-3
Abstract: As a generalization of a vector field on a manifold, the notion of an arc field on a locally complete metric space was introduced in \cite{BC}. In that paper, the authors proved an analogue of the Cauchy-Lipschitz Theorem i.e they showed the existence and uniqueness of solution curves for a time independent arc field. In this paper, we extend the result to the time dependent case, namely we show the existence and uniqueness of solution curves for a time dependent arc field. We also introduce the notion of the sum of two time dependent arc fields and show existence and uniqueness of solution curves for this sum.
Sex Ratio and Approximate Date of Fertilization of the Subsocial Spider Amaurobius ferox Walckenaer (Araneae: Amaurobiidae)
Kim, Kil Won,Jae Chun Choe
Journal of Ecology and Field Biology , 2007,
Abstract: Social spiders consistently show highly female-biased sex ratios. However, the sex ratio ofsubsocial spiders, which have been suggested as an intermediate stage of the evolutionary pathway towardspermanent sociality, is generally unknown. We investigated the sex ratio and approximate date of fertilizationof the subsocial spider, Amaurobius ferox Walckenaer (Araneae: Amaurobiidae). Investigation over 2 yearsrevealed that sex ratio of A. ferox was consistent across years and averaged 0.49. By early May (1st 10th),66.6% of female A. ferox observed in the field had already been inseminated, and by late May (21st 31st),95.4% of females had been inseminated. This result suggests that A. ferox need a long time or coldtemperatures to prepare them for reproduction after the developmental attainment of the adult stage.
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems
Wilfrid Gangbo,Hwa Kil Kim,Tommaso Pacini
Mathematics , 2008,
Abstract: Let M denote the space of probability measures on R^D endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in M was introduced by Ambrosio, Gigli and Savare'. In this paper we develop a calculus for the corresponding class of differential forms on M. In particular we prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For D=2d we then define a symplectic distribution on M in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper we emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of R^D.
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces
Hark-Mahn Kim,Kil-Woung Jun,Eunyoung Son
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/270954
Abstract: We prove the Hyers-Ulam stability of the following Jensen functional inequality ‖((?)/
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