Multiparameter Statistical Models from <svg style="vertical-align:-0.45pt;width:83.5625px;" id="M1" height="20.262501" version="1.1" viewBox="0 0 83.5625 20.262501" width="83.5625"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,20.2625)">
		<g transform="translate(72,-55.79)">
			<text transform="matrix(1,0,0,-1,-71.95,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑁</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-55.08,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">2</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-44.32,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">×</tspan>
				<tspan style="font-size: 17.93px; " x="15.458246" y="0">𝑁</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-11.98,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">2</tspan>
			</text>

		</g>
	</g>
</svg> Braid Matrices: Explicit Eigenvalues of Transfer Matrices <svg style="vertical-align:-0.0pt;width:31.299999px;" id="M2" height="19.700001" version="1.1" viewBox="0 0 31.299999 19.700001" width="31.299999"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,19.7)">
		<g transform="translate(72,-56.24)">
			<text transform="matrix(1,0,0,-1,-71.95,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">T</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-60.99,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">(</tspan>
				<tspan style="font-size: 12.55px; " x="4.1801491" y="0">𝑟</tspan>
				<tspan style="font-size: 12.55px; " x="9.3017731" y="0">)</tspan>
			</text>

		</g>
	</g>
</svg>, Spin Chains, Factorizable Scatterings for All <svg style="vertical-align:-0.0pt;width:21.2125px;" id="M3" height="14.7625" version="1.1" viewBox="0 0 21.2125 14.7625" width="21.2125"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,14.7625)">
		<g transform="translate(72,-60.19)">
			<text transform="matrix(1,0,0,-1,-71.95,60.24)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑁</tspan>
			</text>

		</g>
	</g>
</svg>

Advances in Mathematical Physics

fig1

Figure 1

Figure 1: Multiparameter Statistical Models from <svg style="vertical-align:-0.45pt;width:83.5625px;" id="M1" height="20.262501" version="1.1" viewBox="0 0 83.5625 20.262501" width="83.5625"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,20.2625)">
		<g transform="translate(72,-55.79)">
			<text transform="matrix(1,0,0,-1,-71.95,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑁</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-55.08,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">2</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-44.32,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">×</tspan>
				<tspan style="font-size: 17.93px; " x="15.458246" y="0">𝑁</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-11.98,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">2</tspan>
			</text>

		</g>
	</g>
</svg> Braid Matrices: Explicit Eigenvalues of Transfer Matrices <svg style="vertical-align:-0.0pt;width:31.299999px;" id="M2" height="19.700001" version="1.1" viewBox="0 0 31.299999 19.700001" width="31.299999"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,19.7)">
		<g transform="translate(72,-56.24)">
			<text transform="matrix(1,0,0,-1,-71.95,56.29)">
				<tspan style="font-size: 17.93px; " x="0" y="0">T</tspan>
			</text>

			<text transform="matrix(1,0,0,-1,-60.99,63.46)">
				<tspan style="font-size: 12.55px; " x="0" y="0">(</tspan>
				<tspan style="font-size: 12.55px; " x="4.1801491" y="0">𝑟</tspan>
				<tspan style="font-size: 12.55px; " x="9.3017731" y="0">)</tspan>
			</text>

		</g>
	</g>
</svg>, Spin Chains, Factorizable Scatterings for All <svg style="vertical-align:-0.0pt;width:21.2125px;" id="M3" height="14.7625" version="1.1" viewBox="0 0 21.2125 14.7625" width="21.2125"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,14.7625)">
		<g transform="translate(72,-60.19)">
			<text transform="matrix(1,0,0,-1,-71.95,60.24)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑁</tspan>
			</text>

		</g>
	</g>
</svg> 

Figure 1 | Multiparameter Statistical Models from 
	
		
			
				𝑁
			

			
				2
			

			
				×
				𝑁
			

			
				2
			

		
	
 Braid Matrices: Explicit Eigenvalues of Transfer Matrices 
	
		
			
				T
			

			
				(
				𝑟
				)
			

		
	
, Spin Chains, Factorizable Scatterings for All 
	
		
			
				𝑁
			

		
	
 

Advances in Mathematical Physics

Multiparameter Statistical Models from 𝑁 2 × 𝑁 2 Braid Matrices: Explicit Eigenvalues of Transfer Matrices T ( 𝑟 ) , Spin Chains, Factorizable Scatterings for All 𝑁

Figure 1

Multiparameter Statistical Models from Braid Matrices: Explicit Eigenvalues of Transfer Matrices , Spin Chains, Factorizable Scatterings for All