Velocity distribution of fragments of catastrophic impacts

Three dimensional velocities of fragments produced by laboratory impact experiments were measured for basalts and pyrophyllites. The velocity distribution of fragments obtained shows that the velocity range of the major fragments is rather narrow, at most within a factor of 3 and that no clear dependence of velocity on the fragment mass is observed. The NonDimensional Impact Stress (NDIS) defined by Mizutani et al. (1990) is found to be an appropriate scaling parameter to describe the overall fragment velocity as well as the antipodal velocity

Tropical R and Tau Functions

Tropical R is the birational map that intertwines products of geometric crystals and satisfies the Yang-Baxter equation. We show that the D^{(1)}_n tropical R introduced by the authors and its reduction to A^{(2)}_{2n-1} and C^{(1)}_n are equivalent to a system of bilinear difference equations of Hirota type. Associated tropical vertex models admit solutions in terms of tau functions of the BKP and DKP hierarchies.Comment: LaTeX2e, 26page

Behavior of chum salmon as revealed by micro data loggers off the Sanriku coast, Japan: A review

The homing season of chum salmon in the Sanriku coastal area is generally late September to January. The surface water temperature is 20℃ at the beginning of the season and decreases to 12℃ at the end. This temperature condition is very tough for the homing migration of chum salmon, since they are typical cold-water species. How do they behave in the waters where temperatures can be close to their upper lethal limit? We monitored swimming behavior of salmon using micro data-loggers to study the relationship between homing behavior and ambient temperature. Seasonal changes in seawater temperature transformed the salmon behavior from deep diving to surface swimming. The deep diving is a type of behavioral thermoregulation in thermally stratified water with high surface temperature, whereas surface swimming helps the salmon to locate their natal rivers. Sexual maturation induced the salmon to seek their natal river in the surface water, even if their temperature was high. An analysis of the vertical movements of the salmon indicated that salmon are negatively buoyant throughout the dive, and thus, the energy cost for deep diving cannot be negligible. Our data indicate the high behavioral adaptability of salmon to such thermally stratified water with high surface temperature

Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection

The Kerov-Kirillov-Reshetikhin (KKR) bijection is the crux in proving fermionic formulas. It is defined by a combinatorial algorithm on rigged configurations and highest paths. We reformulate the KKR bijection as a vertex operator by purely using combinatorial R in crystal base theory. The result is viewed as a nested Bethe ansatz at q=0 as well as the direct and the inverse scattering (Gel'fand-Levitan) map in the associated soliton cellular automaton.Comment: 28 page

A New Variant of Unbalanced Oil and Vinegar Using Quotient Ring: QR-UOV

The unbalanced oil and vinegar signature scheme (UOV) is a multivariate signature scheme that has essentially not been broken for over 20 years. However, it requires the use of a large public key; thus, various methods have been proposed to reduce its size. In this paper, we propose a new variant of UOV with a public key represented by block matrices whose components correspond to an element of a quotient ring. We discuss how it affects the security of our proposed scheme whether or not the quotient ring is a field. Furthermore, we discuss their security against currently known and newly possible attacks and propose parameters for our scheme. We demonstrate that our proposed scheme can achieve a small public key size without significantly increasing the signature size compared with other UOV variants. For example, the public key size of our proposed scheme is 85.8 KB for NIST\u27s Post-Quantum Cryptography Project (security level 3), whereas that of compressed Rainbow is 252.3 KB, where Rainbow is a variant of UOV and is one of the third-round finalists of the NIST PQC project

New Complexity Estimation on the Rainbow-Band-Separation Attack

Multivariate public key cryptography is a candidate for post-quantum cryptography, and it allows generating particularly short signatures and fast verification. The Rainbow signature scheme proposed by J. Ding and D. Schmidt is such a multivariate cryptosystem and is considered secure against all known attacks. The Rainbow-Band-Separation attack recovers a secret key of Rainbow by solving certain systems of quadratic equations, and its complexity is estimated by the well-known indicator called the degree of regularity. However, the degree of regularity generally is larger than the solving degree in experiments, and an accurate estimation cannot be obtained. In this paper, we propose a new indicator for the complexity of the Rainbow-Band-Separation attack using the $F_4$ algorithm, which gives a more precise estimation compared to one using the degree of regularity. This indicator is deduced by the two-variable power series $$\frac{\prod _{i=1}^m(1-t_1^{d_{i1}}t_2^{d_{i2}})}{(1-t_1)^{n_1}(1-t_2)^{n_2}},$$ which coincides with the one-variable power series at $t_1=t_2$ deriving the degree of regularity. Moreover, we show a relation between the Rainbow-Band-Separation attack using the hybrid approach and the HighRank attack. By considering this relation and our indicator, we obtain a new complexity estimation for the Rainbow-Band-Separation attack. Consequently, we are able to understand the precise security of Rainbow against the Rainbow-Band-Separation attack using the $F_4$ algorithm

Energy transfer from Cr to Nd in substitutional crystal Y3GaxAl5-x O12 codoped with Nd and Cr

Garnet crystals codoped with Nd3+ and Cr3+ ions are a candidate for solar-pumped laser materials. Substitutional disordered crystals Y3GaxAl5-xO12 were prepared to improve the pumping efficiency of Nd3+ luminescence and energy transfer from Cr3+ to Nd3+ ions. The substitutional disordered crystal host produced inhomogeneous broadening of the Nd3+ and Cr3+ optical spectra. Enhancement of overlapping between the Cr3+ absorption bands and the solar spectrum, and between the Cr3+ luminescence bands and the Nd3+ absorption lines led to the increases of the pumping efficiency and the energy transfer rates, respectively. The excitation spectrum of the Nd3+ luminescence, the nonexponential decay curves of the Cr3+ luminescence, and the quantum yields of the Cr3+ and Nd3+ luminescence have given evidence on the energy transfer from Cr3+ to Nd3+ ions

Anti-glycopeptide mAb LpMab-21 against Podoplanin

Human podoplanin (hPDPN), which binds to C‐type lectin‐like receptor‐2 (CLEC‐2), is involved in platelet aggregation and cancer metastasis. The expression of hPDPN in cancer cells or cancer‐associated fibroblasts indicates poor prognosis. Human lymphatic endothelial cells, lung‐type I alveolar cells, and renal glomerular epithelial cells express hPDPN. Although numerous monoclonal antibodies (mA bs) against hPDPN are available, they recognize peptide epitopes of hPDPN. Here, we generated a novel anti‐hPDPN mA b, LpMab‐21. To characterize the hPDPN epitope recognized by the LpMab‐21, we established glycan‐deficient CHO‐S and HEK‐293T cell lines, using the CRISPR/Cas9 or TALEN. Flow cytometric analysis revealed that the minimum hPDPN epitope, in which sialic acid is linked to Thr76, recognized by LpMab‐21 is Thr76–Arg79. LpMab‐21 detected hPDPN expression in glioblastoma, oral squamous carcinoma, and seminoma cells as well as in normal lymphatic endothelial cells. However, LpMab‐21 did not react with renal glomerular epithelial cells or lung type I alveolar cells, indicating that sialylation of hPDPN Thr76 is cell‐type‐specific. LpMab‐21 combined with other anti‐hPDPN antibodies that recognize different epitopes may therefore be useful for determining the physiological function of sialylated hPDPN